Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 1042711: A ball with a camera is thrown up in the air by a person who released it at a height of 1.7m. The ball's sensor took pictures a its maximum height of 33m.
The ball was not caught and hit the ground at 4.8 seconds after the time it was released.
Sketch a graph that would model the ball's height versus time. and state the type of function and any key features related to the graph.
Thanks for your time.
Click here to see answer by josmiceli(19441)

Question 1042736: I need help on the following :Solving the system by graphing x-6y=6 -x+y=4
Click here to see answer by stanbon(75887)

Question 1042740: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither.
f(x) =
a. symmetry with respect to the origin
b. symmetry with respect to the y-axis
c. neither

Click here to see answer by Alan3354(69443)

Question 1042746: Use the Factor Theorem to determine whether x - c is a factor of f(x).
8x3 + 36x2 - 19x - 5; x + 5
a. Yes
b. No

Click here to see answer by jim_thompson5910(35256)

Question 1042746: Use the Factor Theorem to determine whether x - c is a factor of f(x).
8x3 + 36x2 - 19x - 5; x + 5
a. Yes
b. No

Click here to see answer by ikleyn(52778)

Question 1042742: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither.
f(x) = -9x^2-9x-10/7x+7
a. symmetry with respect to the origin
b. symmetry with respect to the y-axis
c. neither

Click here to see answer by jim_thompson5910(35256)

Question 1042738: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.
f(x) = -x2 - 2x + 2
a. minimum; - 1
b. maximum; 3
c. minimum; 3
d. maximum; - 1
Click here to see answer by jim_thompson5910(35256)

Question 1042747: Use the Theorem for bounds on zeros to find a bound on the real zeros of the polynomial function.
f(x) = x^4 + 2x^2 - 3
a. -4 and 4
b. -3 and 3
c. -6 and 6
d. -5 and 5
Click here to see answer by Edwin McCravy(20054)

Question 1042739: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither.
f(x) =
a. symmetry with respect to the y-axis
b. symmetry with respect to the origin
c. neither

Click here to see answer by ikleyn(52778)

Question 1042744: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither.
f(x) = (5x-15)(x-6)/x^2+18x-19
a. symmetry with respect to the y-axis
b. symmetry with respect to the origin
c. neither

Click here to see answer by ikleyn(52778)

Question 1042784: Find the indicated intercept(s) of the graph of the function.
y-intercept of f(x) = (5x-15)(x-4)/x^2+12x-19
Click here to see answer by Alan3354(69443)

Question 1042786: Find the vertex and axis of symmetry of the graph of the function.
f(x) = -3x2 - 6x - 2
a. (-1, 1) ; x = -1
b. (2, -26) ; x = 2
c. (1, -11) ; x = 1
d. (-2, -8) ; x = -2

Click here to see answer by rothauserc(4718)

Question 1042794: f(x,y)=3x+6y
I don't understand the step of how to began can you help me?
Click here to see answer by Alan3354(69443)

Question 1042815: Could you help me solve this problem?

Thank you
Click here to see answer by Alan3354(69443)

Question 1042816: How to evaluate these two problems?

Thank you
Click here to see answer by Alan3354(69443)

Question 1042783: Find the domain of the rational function.
g(x) = x+5/x^2+49x
Click here to see answer by ikleyn(52778)

Question 1042823: Explain how the graph of g is obtained from the graph of f. (a) f(x)=x2;g(x)=(x-4)2
Click here to see answer by jim_thompson5910(35256)

Question 1042834: What is 3x+y=?
Click here to see answer by josgarithmetic(39617)

Question 1042839: explain how the graph of g is obtained from the graph of f. atleast in 50 words.
(a) f(x)=x2;g(x)=(x-4)2
Click here to see answer by josgarithmetic(39617)

Question 1042787: Find the power function that the graph of f resembles for large values of |x|.
f(x) = -x2(x + 4)3(x2 - 1)
a. y = x7
b. y = -x7
c. y = x3
d. y = x2

Click here to see answer by josgarithmetic(39617)

Question 1042852: Write the equation of the given graph g(x). The original function was f(x)=x^2
what is the graph of:
g(x)=(x+4)^2-3
Click here to see answer by josgarithmetic(39617)

Question 1042894: Y=1/4-2
Click here to see answer by Fombitz(32388)

Question 1042938: Find the indicated intercept(s) of the graph of the function.
y-intercept of f(x) = (5x-15)(x-4)/x^2+12x-19
a. (0, 3)
b. (0, 4)
c. (0,60/19)
d. (0, -60/19)
Click here to see answer by stanbon(75887)

Question 1042939: Find the vertex and axis of symmetry of the graph of the function.
f(x) = -3x^2 - 6x - 2
Click here to see answer by stanbon(75887)

Question 1042939: Find the vertex and axis of symmetry of the graph of the function.
f(x) = -3x^2 - 6x - 2
Click here to see answer by MathTherapy(10551)

Question 1042940: Find the power function that the graph of f resembles for large values of |x|.
f(x) = -x^2(x + 4)^3(x^2 - 1)
a. y = x^7
b. y = -x^7
c. y = x^3
d. y = x^2
Click here to see answer by jim_thompson5910(35256)

Question 1042941: Find the indicated intercept(s) of the graph of the function.
x-intercepts of f(x) = 2x+7/x-5
a. (5, 0)
b. (-7/2,0)
c. (7/2,0)
d. (-5, 0)
Click here to see answer by ikleyn(52778)

Question 1042942: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.
f(x) = x^2 - 2x - 5
a. maximum; 1
b. minimum; 1
c. maximum; - 6
d. minimum; - 6
Click here to see answer by ikleyn(52778)

Question 1042947: Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = 8x^3 - 10x^2 + 3x + 5; [-1, 0]
a. no real roots; f(x) = (x2 + 1)(3x2 + 1)
b. 1, multiplicity 2; f(x) = (x - 1)2(3x2 + 1)
c. -1, 1; f(x) = (x - 1)(x + 1)(3x2 + 1)
d. -1, multiplicity 2; f(x) = (x + 1)2(3x2 + 1)
Click here to see answer by ikleyn(52778)

Question 1042948: Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = 8x^3 - 10x^2 + 3x + 5; [-1, 0]
a. no real roots; f(x) = (x^2 + 1)(3x^2 + 1)
b. 1, multiplicity 2; f(x) = (x - 1)2(3x^2 + 1)
c. -1, 1; f(x) = (x - 1)(x + 1)(3x^2 + 1)
d. -1, multiplicity 2; f(x) = (x + 1)2(3x^2 + 1)
Click here to see answer by ikleyn(52778)

Question 1042946: Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = 8x3 - 10x2 + 3x + 5; [-1, 0]
a. no real roots; f(x) = (x2 + 1)(3x2 + 1)
b. 1, multiplicity 2; f(x) = (x - 1)2(3x2 + 1)
c. -1, 1; f(x) = (x - 1)(x + 1)(3x2 + 1)
d. -1, multiplicity 2; f(x) = (x + 1)2(3x2 + 1)
Click here to see answer by ikleyn(52778)

Question 1042949: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither.
f(x) = (5x-15)(x-6)/x^2+18x-19
a. symmetry with respect to the y-axis
b. symmetry with respect to the origin
c. neither
Click here to see answer by ikleyn(52778)

Question 1043024: Is it always possible to draw an accurate graph of a function from its table of values? Explain in your answer using specific examples.
Click here to see answer by ikleyn(52778)

Question 1043185: Hello,
I need help with the following math problem:
Line L1 is horizontal and passes through (1,1). Line L2 is vertical and passes through (2,2). Find the intersection of L1 and L2.
Thanks,
Nicole
Click here to see answer by Alan3354(69443)

Question 1043252: Hello,
I need help with the following math problem:
The three points (3,-5), (-a + 2,3), and (2a+3,2) lie on the same line. What is ?
Thank you,
Nicole
Click here to see answer by ikleyn(52778)

Question 1043376: find the equation of a line for the y intercept and slope ginen (0,-2)m=3/5
Click here to see answer by ikleyn(52778)

Question 1043505: Graph the function:
f(x)=(5x-1)/(-x+2)
and find:
a) domain and range
b) equation of its asymptote
c) graph its inverse
d) domain and range of its inverse
Click here to see answer by josgarithmetic(39617)

Question 1043491: Painters are often paid by the hour or on a per-job basis. The rate they receive can affect their working speed.For example, supose they can work for either $9.00 per hour or for $320 plus $3 for each hour less than 40 if they complete the job in less that 40 hours. Suppose the job will take t hours. If t is greater than or equal to 40 the hourly rate is better. If t<40, for what values of t is the hourly rate the better pay scale?
Click here to see answer by Boreal(15235)

Question 1043594: How to determine in which quadrant or on what axis?
How to slope of the line joining the pair of points?
How to slope of the line?
Click here to see answer by Boreal(15235)

Question 1043619: Graph the function and identify the domain and range.
y = -1.5x2
Click here to see answer by josmiceli(19441)

Question 1043671: Find all the points on the x-axis that are a distance of 13 units from (12,5).
Click here to see answer by Edwin McCravy(20054)

Question 1043660: Given: f(x)= 5x^2-7x+3 and g(x)= 4x+9;
Find:
a. (fog)(x)
b. (gof)(x)
c. Find functions f and g such that f{g(x)}=h(x); h(x)=(2x+3)^2
Click here to see answer by josgarithmetic(39617)

Question 1043722: the temperature was 72 degrees F and then it dropped 2 degrees per hour for the next eight hours, use the table below to graph the line.
Time: 1, 2, 4, 6, 8 Temperature: 70, 68, 64, 60, 56

Click here to see answer by tampham5396(3)

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, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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