Graph the equation , answer the following questions and graph the

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Name:________________________________
Graph the equation y 
Unit 4 Test 3 Review
5
x  2 , answer the following questions and graph the line.
4
1. Will the graph of this equation increase or decrease from left to right? How do you know?
2. What is the x-intercept? Y-intercept?
3. Write table of
values for the
function.
4. Graph the
equation in 1 –
X
Y
3
-4
0
4
5. Is this the graph of the equation y 
1
x  2 ? Give two pieces of evidence to support your
2
answer.
a.) slope: _____________________________
b.) y-int: _____________________________
Name:________________________________
Unit 4 Test 3 Review
6. Graph the following equations using any method. Identify the x and y intercepts.
2
a) y  x  3
3
c) 2x  y  4
x-int:
x-int:
y-int:
b) 3x  2y  6
x-int:
y-int:
7. Graph the line that contains the point
(0,2) with a slope of -3.
1
d) y   x  1
3
y-int:
x-int:
y-int:
8. Graph a line that has a slope of 0 and
contains the point (0,-2).
Name:________________________________
Use the table to answer the following questions:
9. What is the slope?
Unit 4 Test 3 Review
x
1
2
3
F(x)
2
6
10
10.Write the equation in slope-intercept form.
11.Find the x and y intercept.
12.Graph the equation.
13.Given the parent linear function y = x, identify the
intercept, y-intercept, slope and graph:
14.What would be the new equation if we moved the graph down six on the y-axis?
15.What effect would placing a negative coefficient in front of x have on the graph?
23. How do the graphs of (a) y = x + 3 and the graph of (b) y = -2x + 5 differ? Provide three examples.
1. m(steepness): _________________________________
2. m(direction):__________________________________
3. y-int:_______________________________________
x
Name:________________________________
Unit 4 Test 3 Review
16.How does changing the constant c in y = x + c affect the graph?
17.If the graph of y = 2x – 7 is shifted vertically 5 units what is the equation of the new
function?
18.Below is the graph of the height of a six inch candle
that burns at a rate of two inches per hour. How
would the graph change if the candle burned at a
rate of three inches per hour?
Review:
19.Find the slope-intercept form of the equation of the line that passes through the points
(-7, 1) and (14, -8).
20.Find f(-5) given f(x) = x 2 - 5x + 18
21. Solve:
7y + 15 5y + 3

3
2
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