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

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Question 1210673: Precalculus
Chapter 1, section 1.2
Q. 42
The graph of an equation is given. The graph is a curve rising from quadrant 2 on the xy-plane through the point (0,1) and moving upward into quadrant 1.
A. Find the intercepts.
B. Indicate if the graph is symmetric with respect to the x-axis, y-axis, or the origin.

A.From the given picture, it looks like the curve will never cross the x-axis. I think the asymptote of the curve is the line y = 0. I say there are no x-intercepts. The curve does go through the point (0,1). The point (0,1) is the y-intercept, which can also be expressed as the line y = 1. You say?
I am not sure how to answer B.

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Question 1210672: Precalculus
Chapter 1, section 1.2
Q. 41 (odd number question here).
The graph of an equation is given. The graph is a parabola opening to the left and right of the y-axis. The parabola opening to the left of the y-axis passes through the point (-1,0). The parabola opening to the right of the y-axis passes through the point (1,0).
A. Find the intercepts.
B. Indicate if the graph is symmetric with respect to the x-axis, y-axis, or the origin.
For A, I found the x-intercepts to be the points given on the graph. That is, the points (-1,0) and (1,0). Can I also represent the x-intercepts by saying x = -1 and x = 1? The two parabolic sketches do not cross the y-axis. So, my conclusion is that there are no y-intercepts. You say?
I don't know how to answer B.
Thank you

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Question 1160739: Solve:
Sqrt(sin(x) - sqrt(sin(x) + cos(x))) = cos(x)

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Question 1160739: Solve:
Sqrt(sin(x) - sqrt(sin(x) + cos(x))) = cos(x)

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Question 184649: Please help with inequalities
3x-2>=10 or x-6<=-4

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Question 184884: Please solve: Find the zeros of f(x)=(x+3)^2(x-5)^6 and state the multiplicity.
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Question 314763: Solve this system of equations by the substitution method.

x+4x=-1
3x+y=8

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Question 263251: I need help to solve the equation 2x - 3y = -7 using slope and y-intercept

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Question 1004808: Solve:
2/(x-1) - 1/2 = 4/(x^2-1)

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Question 1004808: Solve:
2/(x-1) - 1/2 = 4/(x^2-1)

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Question 1210574: How would you graph 4x+3y=-24 show it to me in a graph
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Question 1210574: How would you graph 4x+3y=-24 show it to me in a graph
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Question 1210574: How would you graph 4x+3y=-24 show it to me in a graph
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Question 1181614: What is the solution to the system?
-x-2y=2
2x+3y=-3

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Question 1181614: What is the solution to the system?
-x-2y=2
2x+3y=-3

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Question 1181614: What is the solution to the system?
-x-2y=2
2x+3y=-3

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Question 1181419: Find the standard form of the equation of the line that passes through
(1/2, 2) and has slope -4.

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Question 1181419: Find the standard form of the equation of the line that passes through
(1/2, 2) and has slope -4.

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Question 1210539: y= - 5
2
x+1

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Question 452212: solve the system by graphing:
y=-x-2
y=2x+13

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Question 452212: solve the system by graphing:
y=-x-2
y=2x+13

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Question 440722: Could someone please help me to graph the line containing the given pair of points and find the slope?
(6, 3) (-5, -2)

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Question 440722: Could someone please help me to graph the line containing the given pair of points and find the slope?
(6, 3) (-5, -2)

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Question 435031: $2000 total deposit with 2 savings accounts. One pays interest rate of 6%the other at rate of 8% if a total earned interest is $144 how much is each deposit
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Question 435031: $2000 total deposit with 2 savings accounts. One pays interest rate of 6%the other at rate of 8% if a total earned interest is $144 how much is each deposit
Click here to see answer by josgarithmetic(39840) About Me 
Question 435031: $2000 total deposit with 2 savings accounts. One pays interest rate of 6%the other at rate of 8% if a total earned interest is $144 how much is each deposit
Click here to see answer by ikleyn(53996) About Me 

Question 430837: x^2+8x+15>=0
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Question 1165384: The graph of f(x) is shown below. https://latex.artofproblemsolving.com/d/b/a/dba24dce7c2734af95b18f61b73b2a32f213cd79.png
For each point (a,b) on the graph of y = f(x), the point ( 3a - 1, b/2) is plotted to form the graph of another function y = g(x). For example, (0,2) lies on the graph of y = f(x), so (3 * 0 - 1, 2/2) = (-1,1) lies on the graph of y = g(x).
(a) Plot the graph of y = g(x). Include the diagram in your solution.
(b) Express g(x) in terms of f(x).
(c) Describe the transformations that you would apply to the graph of y = f(x) to obtain the graph of y = g(x). For example, one transformation might be to stretch the graph horizontally by a factor of 5.

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Question 1165421: The graph of f(x) is shown below. https://latex.artofproblemsolving.com/d/b/a/dba24dce7c2734af95b18f61b73b2a32f213cd79.png
For each point (a,b) on the graph of y = f(x), the point ( 3a - 1, b/2) is plotted to form the graph of another function y = g(x). For example, (0,2) lies on the graph of y = f(x), so (3 * 0 - 1, 2/2) = (-1,1) lies on the graph of y = g(x).
(a) Plot the graph of y = g(x). Include the diagram in your solution.
(b) Express g(x) in terms of f(x).
(c) Describe the transformations that you would apply to the graph of y = f(x) to obtain the graph of y = g(x). For example, one transformation might be to stretch the graph horizontally by a factor of 5.

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Question 731836: Sketch a graph for IxI=4

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Question 1210484: How would you graph y=-2/3+5 and -2x+4y=-8 with a point of (6,1)

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Question 1210484: How would you graph y=-2/3+5 and -2x+4y=-8 with a point of (6,1)

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Question 1210484: How would you graph y=-2/3+5 and -2x+4y=-8 with a point of (6,1)

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Question 1210484: How would you graph y=-2/3+5 and -2x+4y=-8 with a point of (6,1)

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Question 1210482: y-8=-x
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Question 733209: Graph the linear equation:
2x+5y+24=0
~What I tried~
2x+5y+24=0
-24 -24
-------------
2x+5y=-24
-2x -2x
-------------
5y=-24-2x
/5 /5
-------------
y=-4.8-2/5x
Swap these^ around.
y=-2/5x-4.8
But I'm not sure if this is correct.
Thanks.

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Question 481534: I'm struggling with this. I need to find the vertex, line of symmetry, and the max or min value of f(x).
The equation is f(x)=1/3 (x+7)^2 + 9

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Question 490209: this is first time algebra and it is confusing. were do i start with this proble
profit=$0.15 x number of e-readers sold - $28
values given in 1000

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Question 551377: 2000 students in the whole school and only 55 of 90 students are buying yearbooks approximately how many books should be orderd?
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Question 1166975: find the Range of f(x) = (5/(x + 1)) cos (x) , x ≥ 0
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Question 1166975: find the Range of f(x) = (5/(x + 1)) cos (x) , x ≥ 0
Click here to see answer by amarjeeth123(575) About Me 

Question 1165235: Suppose that the function f is defined for all real numbers as follows.
f(x)= -x^(2)+10 if -4<=x<4
-5-x if x>=4
Graph the function f. Then determine whether or not the function is continuous.

Click here to see answer by math_tutor2020(3844) About Me 
Question 1165235: Suppose that the function f is defined for all real numbers as follows.
f(x)= -x^(2)+10 if -4<=x<4
-5-x if x>=4
Graph the function f. Then determine whether or not the function is continuous.

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Question 1210399: The Piecewise function of this
f(x) {-x if x <2}
{x^2-6x+9 if x>2 }

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Question 1206470: find the slope of a line that is perpendicular to the y-axis and passes through the point(-7,8)
Click here to see answer by ikleyn(53996) About Me 

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