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

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Question 1165337: Please help me to solve this problem, represent the rational given by f(x)x-1/x+1 using a table of values and plot a graph of the function by connecting points

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Question 1165442: 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.
Please answer in detail!

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Question 1165500: Good morning, I would appreciate if you can help me out to graph this piecewise function. I don't know how to do it.
𝑓(π‘₯) = {|π‘₯| π‘“π‘œπ‘Ÿ π‘₯ < βˆ’2
     βˆ’π‘₯ βˆ’ 1 π‘“π‘œπ‘Ÿ βˆ’ 2 ≀ π‘₯ < 2
   1/2π‘₯ + 2 π‘“π‘œπ‘Ÿ π‘₯ β‰₯ 2

Thank you.

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Question 1165501: What is the domain and range of y=1/2x+15/2?
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Question 1165545: how would I graph -6,3 on a graph that goes by twos

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Question 1165664: graph the line with slope 3/4 passing through the point (2,-3)
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Question 1165756: Make axes, and graph the line y= 1/3 x-2
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Question 1165754: Find an equation of the line perpendicular to the line y=-5x+86, through the point (-30,3). Write the answer in slope-intercept form.
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Question 1165753: Find the slope and y-intercept of the line 7x+6y=24
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Question 1165752: Compute the slope of the line containing the points (-9, -2) and (-5, 10)
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Question 1165677: Which is the graph of ο€­5h3ο‚£ο€­7?

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Question 1165777: the sum of two numbers are 22 and the difference is 6

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Question 1165777: the sum of two numbers are 22 and the difference is 6

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Question 1165814: A line contains the point (-3, -4) and is perpendicular to a line with a slope of 3/5. Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form.
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Question 1165812: A line passes through the point (-4, -20) and has a slope of 3. Write an equation of line satisfying the given conditions. Write the answer in slope-intercept form.
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Question 1165813: Which of the lines defined here has/have only one unique intercept?
A. X = 8
B. -8x - 7y = -7
C. 9y = 5
D. -3x - 3y = 0
Possible answers
A. A, C, and D
B. A, and C
C. B, and D
D. B

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Question 1165896: What is the inverse of y2=(x+9)2
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Question 1165940: Graph y = 7χ3 (x) using transformations. The x in parenthesis is not multiplying the 3 but is the variable next to 7χ3.
Please answer this one for me!

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Question 1165938: Let f(x)= 2|x|
If g(x) is the graph of f(x) shifted left 4 units, write a formula for g(x).
I'd be thankful to receive a response on this.

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Question 1165939: Draw the graph of each equation below.
1) y + 8= 0
2) x + 1= 0
if anybody can help with this, I'd be grateful.

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Question 1165939: Draw the graph of each equation below.
1) y + 8= 0
2) x + 1= 0
if anybody can help with this, I'd be grateful.

Click here to see answer by ikleyn(52777) About Me 

Question 1165990: Hi, I'd appreciate a response on this.
What is the x-intercept of y=2x+8?
Please.

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Question 1166241: If the relation can be represented by the equation IR = 12, rewrite the equation in function notation so that the resistance R is a function of the current I.

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Question 1166311: Y=f(1/3x-1)-1

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Question 1166315: y = -4x+8 graphed as a linear equation
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Question 1166346: When the median of a set of data is less than the mean, the density curve will be...

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Question 1166387: Find the equation of the line that contains the point (-1, -3) and is parallel to the line 2x+3y=5. I don΄t understand how to do this at all
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Question 1166421: Please help me to find the x intercept and y intercept of this linear equation 3x + 2y=9
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Question 1166482: A plane traveled 3300 miles with the wind in 5.5 hours and 2530 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.
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Question 1166532: y=[x]+5 Find the vertex and other points then graph
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Question 1166595: I have to use the linear function f(x)= x^2-16 to find the rate of change over the desired interval which are [-4,1] and [1,4]
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Question 1166596: Question: Use the function f(x)= |x-3| to find the rate of change over the desired intervals [0,2] and [4,5]
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Question 1166585: Input number of words in a telegram and display the cost. Assume the first 15 words cost a flat of 25 pesos and 75 cents per word for the extra words. Additional 20 pesos if special delivery. Show flowchart and program
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Question 1166637: graph 2(x+4)=8

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Question 1166636: Find the value of x 5x-1-1-2x=8+x
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Question 1166799: (35,5)y=-7x+2. I do not understand how to do this.
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Question 1166819: The graph of a function is given. Decide whether it is even, odd, or neither.

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Question 1166912: plot each point and form the triangle A(-2,5), B(12,3), C(10,-11)
Click here to see answer by ikleyn(52777) About Me 
Question 1166912: plot each point and form the triangle A(-2,5), B(12,3), C(10,-11)
Click here to see answer by Alan3354(69443) About Me 

Question 1166918: How would you graph 7/3x+2y=7
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Question 1166918: How would you graph 7/3x+2y=7
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Question 1166899: If f(x) = xΒ³ + 2x find f^(-1)(x)
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Question 1167008: the integers greater ther-5 and lessthan 1 ?
solutions

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Question 1167010: Owners of a recreation area are filling a small pond with water. They are adding water at a rate of liters per minute. There are liters in the pond to start.
Let represent the amount of water in the pond (in liters), and let represent the number of minutes that water has been added. Write an equation relating to , and then graph your equation using the axes below.
need exact points for graph.

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Question 1167107: I don't under stand how to make a rectangular coordinate graph with 3y+6=-x. Can you please help me?
Click here to see answer by josgarithmetic(39617) About Me 

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