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

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Question 279932: Can you determine what the graph of any function looks like just by looking at the function? We've been doing polynomial and rational (polynomial divided by polynomial) functions, and using the standard procedure for analyzing these functions (i.e. determining the vertical and/or horizontal asymptotes, y-int, x-int, etc.). We haven't done enough of these yet for me to determine what the graph may look like just by looking at it. Maybe seeing how the signs of the terms change, the relative size of the coefficients, the order (power) of the function, or some other property of the function, would allow me to sketch the graph of it without going through the trouble of substituting in points. Often, experienced scholars in a subject can do things like this, but I was wondering if there are tricks or tips for doing this. Thanks! By the way, we haven't done calculus yet, so we don't get to use calculus to figure out how to graph these functions.
Click here to see answer by richwmiller(9144) About Me 

Question 280069: Give n equation is x=-4 Find 3 solutions. Write as order pair. find the of the slope the equation.
Click here to see answer by Edwin McCravy(8999) About Me 
Question 280069: Give n equation is x=-4 Find 3 solutions. Write as order pair. find the of the slope the equation.
Click here to see answer by Alan3354(31509) About Me 

Question 280152: find an equation of the line containing the given pairs of points (-4,0) (0,1)
Click here to see answer by JBarnum(2044) About Me 

Question 280330: y>3x-6
y
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Question 280368: Evaluate the function t = 83
R(83) = 0.01 (83) + 46.4
= 0.01(83) + 46.4
= 47.23
The correct answer is 45.57 How did they get the answer I need step by step help
45.52 = 0.01t + 46.4
-09 = 0.01 Where did they get the -0.9 and how what did they do
= 88.0 How did they get 88.0 also

Click here to see answer by stanbon(57953) About Me 

Question 280408: Hi - I need to solve the following inequality if possible.
x/-7<-3
Thank You

Click here to see answer by checkley77(12569) About Me 

Question 280402: If a basketball player has a vertical leap of about 25 inches. What is his hang-time? Use the hang-time function: V=48T^2
The hang time is ? secounds

Click here to see answer by checkley77(12569) About Me 

Question 280400: use the FOIL method to find the product:
(8x^3-2)(x^8-2)

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Question 280384: graph the equation and identify the y-intercept of y= 10/7x +4
Click here to see answer by richwmiller(9144) About Me 
Question 280384: graph the equation and identify the y-intercept of y= 10/7x +4
Click here to see answer by Alan3354(31509) About Me 

Question 280410: Hi - I need to solve the following inequality if possible.
[x+1] - 3 >8
Thank You

Click here to see answer by stanbon(57953) About Me 

Question 280397: Find the vertext: f(x)=-2x^2+2x+5
What is the x coordinate?
What is the y corrinate?
What is the symetry?

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Question 280659: Are these two lines parallel? y=3x-2 and 2y=6x+5
Click here to see answer by oberobic(2304) About Me 

Question 280658: Graph the equation 3y=12
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Question 280797: How do I graph x>5 or x<-3, D=R?
Click here to see answer by dayze(1) About Me 

Question 280923: Solve by Elimination
x+9y+78
-x+5y=34

Click here to see answer by checkley77(12569) About Me 

Question 280885: Find the slope of a line parallel to the line f(x)=7x+10
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Question 280871: -x+3y=6
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Question 281017: I am working on graphing equations and I am not understanding how to do problems such as Y=X and how find order pairs for it and graph it can you please explain to me on how I can figure it out.
Click here to see answer by stanbon(57953) About Me 

Question 281307: wHAT ARE THE VALUES FOR X IF F(X)=2?
Click here to see answer by rfer(12727) About Me 

Question 281372: write in standard form the equation of the line that has a slope of 2 and passes through the poing (3,9).
I think you use the y-y1=m(x-x1)

Click here to see answer by subudear(55) About Me 

Question 281369: How do you solve this problem 3x+4y is less than or equal to 12?
Click here to see answer by richwmiller(9144) About Me 

Question 281375: if f(x)=x^2+3x+4 find f(-1)
Click here to see answer by Mathematicians(84) About Me 

Question 281410: hey, can u help me with this, i got somehow missed on how to do it in class,
Draw each of the following and state the intercepts from the graph if possible.
a y = 2x − 3 for −3 < x < 6 is the first question
second: y = −x + 2 for −6 < x < 6

Click here to see answer by subudear(55) About Me 

Question 281480: my inequality is -4y > 3x+2 when i divide out the -4 at the end half of the problem to solve for y do i divide it from all terms
Click here to see answer by stanbon(57953) About Me 
Question 281480: my inequality is -4y > 3x+2 when i divide out the -4 at the end half of the problem to solve for y do i divide it from all terms
Click here to see answer by richwmiller(9144) About Me 

Question 281424: write the equation of a line with slope -2 and y-intercept (0,0)
Click here to see answer by brucewill(101) About Me 

Question 281514: f(x) = x^2 - 5x + 6
What is the range?

Click here to see answer by Mathematicians(84) About Me 

Question 281614: what steps would you use to graph the equation 3x-7y=21?
Click here to see answer by jim_thompson5910(28704) About Me 
Question 281614: what steps would you use to graph the equation 3x-7y=21?
Click here to see answer by Alan3354(31509) About Me 

Question 281566: 4x=y+5
8x-5=2y solve the systems of equations by graphing

Click here to see answer by checkley77(12569) About Me 

Question 281664: State the slope of the graph of 6x + 3y = 10?
Click here to see answer by jim_thompson5910(28704) About Me 

Question 281698: How do you find solutions in a graph, when only given a graph? The tip is at (1,3)It opens down and the two x-intercept points are (-2,0) and (4,0. Vertex is 1.
Click here to see answer by Alan3354(31509) About Me 

Question 282114: Consider the function y - 5 = -4x.
a) Write the equation in standard form.
b) Write the equation in slope-intercept form.
c) The slope is ________.
d) The y-intercept is ___________.

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Question 282095: 5/6r + 1 > 4/3
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Question 282170: Graph 2x + y=2. Don't know where to begin. Please help me out.
Click here to see answer by checkley77(12569) About Me 
Question 282170: Graph 2x + y=2. Don't know where to begin. Please help me out.
Click here to see answer by Alan3354(31509) About Me 

Question 282204: Is (2, -3) a solution of x^2 + 2y = -2? Tell why or why not.
Click here to see answer by Mathematicians(84) About Me 
Question 282204: Is (2, -3) a solution of x^2 + 2y = -2? Tell why or why not.
Click here to see answer by oberobic(2304) About Me 

Question 282218: through (7,2) parallel to 3x-y=8
written in slope intercept form and standard form?

Click here to see answer by oberobic(2304) About Me 

Question 282304: graph y > -x
im lost, can you help me graph this

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Question 282777: The number of ordered pair solutions (x, y) with real coordinates of the system
3x^2 − y^2 = 3
5x^2 − 2y^2 = 2
is
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4

Click here to see answer by Alan3354(31509) About Me 

Question 282847: Finding the x- and Y-intercepts

x=7
____x-intercept= ______
____y-intercept=______

Don't understand how to do it

Click here to see answer by user_dude2008(1861) About Me 

Question 281934: Graph 3x+y<5
Click here to see answer by user_dude2008(1861) About Me 

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