Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 905868: Use the Rational zeros theorem to find all real zeros of each polynomial functions. Use the zeros to factor f over the real numbers.
1. f(x)= (x^4)-(x^3)-(6x^2)+4x+8
Click here to see answer by richwmiller(17219)

Question 905578: It asks tell whether the relation is a function
X -2 -3 -3 -4
Y 1 2 3 4
I don't know how to check if its a function
Click here to see answer by richwmiller(17219)

Question 905994: Hello,
Here is my problematic road block:
Determine if the function f(x) = 6x * |2x^3| is even, odd, or neither.
Thank you and cheers,
Ryan
Click here to see answer by josgarithmetic(39617)

Question 905910: Find the intervals on which the function is increasing, and on which the function is decreasing.
Here is the graph and other parts of the question I am not positive about:
http://i.imgur.com/mruKsFU.png
My answers:
For decreasing: [-3,0] U [2,∞)
For increasing: (-∞,∞)

I am confused on all this.
Click here to see answer by Edwin McCravy(20055)

Question 905960: Find rate of change between and

What I have so far:
Using the rate of change formula:
And evaluating the function I got and and then but how do I solve the part and subtract that from 1? I don't understand. Please explain how this is solved.
Click here to see answer by ewatrrr(24785)

Question 905989: Hello,
Here is my problematic road block:
Consider the function f(x) = (9 - x) / (x + 10) + 2. Algebraically determine the domain and all intercepts.
Thank you in advance,
Ryan
Click here to see answer by Theo(13342)

Question 906109: What are the resulting functions?

The graph of a function F is obtained by performing a sequence of transformations of the graph of g. For each of the transformations listed below write the resulting function
Shrink the graph of g vertically by a factor of
Shrink the graph of g vertically by a factor of
=
Then reflect that graph in the x-axis.
=
Finally shift left 24 units.
=

Please explain,
Thank you
Click here to see answer by stanbon(75887)

Question 906087: Over what values of x does the function y=x^2 increase in value?
Click here to see answer by richard1234(7193)

Question 906111: = and

Find domain of:
=
=
=
=

Thank you
Click here to see answer by MathLover1(20849)

Question 906170: A quadratic function is given.
f(x) =
(a) Express the quadratic function in standard form.
f(x) =
(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)

vertex............(x, y) = ( _ , _ )
x-intercepts..(x, y) = ( _ , _ ) (smaller x-value)
.....................(x, y) = ( _ , _ ) (larger x-value)
y-intercept....(x, y) = ( _ , _ )

Click here to see answer by josgarithmetic(39617)

Question 906168: Suppose
y =
Find the following information for this function.
The coordinates of the Vertex are ( _ , _ ).
This parabola has ( __ ) x-intercepts.
These intercepts occur at (exact values):
x = ( __ ) Smaller value
x = ( __ ) Bigger value
Enter DNE in any unused spaces.
This parabola attains a __ value of __

Click here to see answer by josgarithmetic(39617)

Question 906290: Solve the nonlinear inequality. Express the solution using interval notation.
(x + 4)(x − 1)(x − 9) ≤ 0
Click here to see answer by ewatrrr(24785)

Question 906328: Evaluate the function at the indicated values. (If an answer is undefined answer UNDEFINED.)
g(x) =

=
=
Click here to see answer by ewatrrr(24785)

Question 906334: Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).
Click here to see answer by ewatrrr(24785)

Question 906321: Suppose

Find the following information for this function.
The coordinates of the Vertex are ( _ , _ ).
This parabola has ( __ ) x-intercepts.
These intercepts occur at (exact values):
x = ( __ ) Smaller value
x = ( __ ) Bigger value
Enter DNE in any unused spaces.
This parabola attains a __ value of __
Click here to see answer by ewatrrr(24785)

Question 906388: f:R to R f(x)=x ^2 is it surjective function??? if f:N to N then is the above function surjective??
Click here to see answer by Edwin McCravy(20055)

Question 906403: The graph of a function F is a parabola that has the x-intercepts 5 and 21. The function has a minimum value of -56.
The function is
F(x) = ____
Click here to see answer by lwsshak3(11628)

Question 906413: Let f (x) = x^2 + 4x - 7
(a) Find the coordinates of the vertex.
(x, y) = ___

(b) The [Either max/min] value of f is
f ( __ ) = __

(c) Find the domain and range of f

Click here to see answer by stanbon(75887)

Question 906420: If a ball is thrown upward with a speed of 24 feet per second, then t seconds later its height h is h(t) = 24t − 16t^2 .
The maximum height that the ball reaches is ____ feet
The ball reaches its maximum height when t = ____ seconds.
The ball hits the ground ____ seconds after it was thrown.
What is the average rate of change in the ball's height from t = a to t = a + h? (Don't forget to simplify Average rate of change = ____ feet/second
Click here to see answer by richwmiller(17219)

Question 906423: A quadratic function is given.
f(x) =
(a) Express the quadratic function in standard form.
f(x) = ____
(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)
vertex...............(x, y) = ( _ , _ )
x-intercepts......(x, y) = ( _ , _ ) (smaller value)
.........................(x, y) = ( _ , _ ) (larger value)
y-intercept........(x, y) = ( _ , _ )
Click here to see answer by MathLover1(20849)

Question 906422: Let f (x) =
(a) Find the coordinates of the vertex.
(x, y) = ___
(b) The [Either max/min] value of f is
f ( __ ) = __
(c) Find the domain and range of f
Click here to see answer by lwsshak3(11628)

Question 906441: Let f (x) =
(a) Find the coordinates of the vertex.
(x, y) = ___
(b) The [Either max/min] value of f is
f ( __ ) = __
(c) Find the domain and range of f
Click here to see answer by MathLover1(20849)

Question 906410: A quadratic function is given.
f(x) = −x^2 + 18x
(a) Express the quadratic function in standard form.
f(x) = ____
(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)
vertex...............(x, y) = ( _ , _ )
x-intercepts......(x, y) = ( _ , _ ) (smaller value)
.........................(x, y) = ( _ , _ ) (larger value)
y-intercept........(x, y) = ( _ , _ )

Click here to see answer by MathLover1(20849)

Question 906401: What is the domain of y=-(2/3)(x+2)^2 -5
Click here to see answer by MathLover1(20849)

Question 906488: y =
Find the following information for this function.
The coordinates of the vertex are ( _ , _ ).
This parabola has __ x-intercepts.
These intercepts occur at:
x = ____ Smaller value
x = ____ Bigger value
Enter DNE in any unused space(s).
This function attains a value of ____ value of ___
Click here to see answer by josgarithmetic(39617)

Question 906508: Please help!
Let f(x) = -
The graph of f is a ____
The minimum value of the function f is
f( ____ ) = ____
The maximum value of the function on the interval [-1 , 9 ] is
f( ____ ) = ____ .
* The graph of function g is created by
* stretching the graph of f vertically by a factor of 16,
* then shifting that graph up 27 units,
* and finally shifting the graph left 1 units.
Find the function g.
g(x)= ____
Click here to see answer by josgarithmetic(39617)

Question 906490: Let f(x) =

The graph of f is a ____
The minimum value of the function f is
f( ____ ) = ____
The maximum value of the function on the interval [-1 , 9 ] is
f( ____ ) = ____ .
* The graph of function g is created by
* stretching the graph of f vertically by a factor of 16,
* then shifting that graph up 27 units,
* and finally shifting the graph left 1 units.
Find the function g.
g(x)= ____
Click here to see answer by josgarithmetic(39617)

Question 906484: If f(x) = (x-7)/x, find f^-1(x).
So basically, I need help finding the inverse of this function.
I know the basic rules and the main four steps to find an inverse of a function, but I keep getting stuck on this problem. I would like to see each step for solving this problem, thanks!
Please help, and thanks again in advanced!
(This is the first time I've used this website.)
Click here to see answer by josgarithmetic(39617)

Question 906509: Please explain
A parabola has the vertex (8, -35 ) and passes through the point (10, -23 ). Find a function f with this graph.
Thank you
Click here to see answer by josgarithmetic(39617)

Question 906469: Let f(x) =

The graph of f is a ____
The minimum value of the function f is
f( ____ ) = ____
The maximum value of the function on the interval [-1 , 9 ] is
f( ____ ) = ____ .
* The graph of function g is created by
* stretching the graph of f vertically by a factor of 16,
* then shifting that graph up 27 units,
* and finally shifting the graph left 1 units.
Find the function g.
g(x)= ____
Click here to see answer by josgarithmetic(39617)

Question 906468: y =
Find the following information for this function.
The coordinates of the vertex are ( _ , _ ).
This parabola has __ x-intercepts.
These intercepts occur at:
x = ____ Smaller value
x = ____ Bigger value
Enter DNE in any unused space(s).
This function attains a value of ____ value of ____

Click here to see answer by josgarithmetic(39617)

Question 906407: A quadratic function is given.
f(x) = −x^2 + 10x
(a) Express the quadratic function in standard form.
f(x) = ____
(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)
vertex...............(x, y) = ( _ , _ )
x-intercepts (x, y) = ( _ , _ ) (smaller x-value)
........................(x, y) = ( _ , _ ) (larger x-value)
y-intercept (x, y) = ( _ , _ )

Click here to see answer by josgarithmetic(39617)

Question 906685: I think I have the first part right but I don't know what a local extrema is or how to find it here or the last question. Please explain thank you

http://i.imgur.com/RylwW2f.png
Click here to see answer by Edwin McCravy(20055)

Question 906687: Draw the graphs of the following functions. The x- and y-intercepts of each graph should be labeled with their values, any vertex should be labeled with its coordinates. Show each vertical or horizontal asymptotes with a dotted line and label it with its intercept value.

Please explain how I would graph these. Thank you
a. y = | 3x - 9|
b. y = x^3 - 8
c. y = 5 - 3x

Click here to see answer by josgarithmetic(39617)

Question 906686: The function h(t) = gives the height (in feet) of a rock t seconds after it has been thrown upward. Draw the graph of h. Determine the maximum height of the rock and the time that it takes the rock to reach that maximum height. How do you know that there is a maximum height? Justify your answer.
Click here to see answer by MathLover1(20849)

Question 906758: Selecting all answers that are true for this function:
http://i.imgur.com/6Lt30z3.png
How would I know which are which is which
I factored it down like this
x^3 - 3x^2 - 40x
x(x-8)(x+5)
8,-5
I just can't seem to figure out which are right or wrong.
Click here to see answer by josgarithmetic(39617)

Question 906735: Please help! explain this this function in true or false questions: F(x) = x^3 - 3x^2 - 40x

http://i.imgur.com/6Lt30z3.png
Thank you
Click here to see answer by josgarithmetic(39617)

Question 906923: The function f(x) = x^2 from the set of positive real numbers to positive real numbers.is it surjective?? please explain
Click here to see answer by stanbon(75887)

Question 907209: With the vertex formula what does the "a" do exactly. I understand that if a>0 it opens upwards and a<0 it opens downwards. But what does the numerical part mean. Say if it's 4(x-3)^2+10 what would the 4 do to the graph of the function?

Thank you
Click here to see answer by josgarithmetic(39617)

Question 907200: Draw the graphs of the following functions. The x- and y-intercepts of each graph should be labeled with their values, any vertex should be labeled with its coordinates. Show each vertical or horizontal asymptotes with a dotted line and label it with its intercept value.

a. y =
b. y =
c. y =

if you can't draw the graph please explain how I would find it or what it would look like.
Thanks!
Click here to see answer by josgarithmetic(39617)

Question 907332: With the problem: Why do we factor out the 2(x-5)? what rule is this I don't recall this method.
Thanks
Click here to see answer by Fombitz(32388)

Question 906612: Find the domain of the following function. express your answer using interval notations. a(r)=R+1/R-1
Click here to see answer by Fombitz(32388)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660