Algebra 2
Chapter 2 Test REVIEW!!!
Name __________________________ Pd: ____
Find the domain and range of each relation, and determine whether it is a function.
1. {(2,3), (5, 3), (3, -1), (4,0}
3.
4.
2. {(3, -1), (-1,3) (4, 8), (3, 0)}
Use the vertical line test to determine if the graph is a function.
5.
6.
Suppose f(x) = 5x +3 and
7.
f(-2)
8.
9. f(5)
10. g(4)
Find the slope of each line.
11.
through (2, -5) and (3, -1)
13. perpendicular to y 3x
15. Parallel to y 2 x 6
2
5
12.
through (14, 5) and (9, 4)
y
14.
perpendicular to y
16.
2
y x 1
3
5
x 16
3
Write the equation of the line with the given slope through the given point. Express your final answer in
slope-intercept form.
1
4
1
18. slope ;(15,30)
5
17. slope 3; 4, 2
19. slope = -2 ; ,5
Find the equation of the line through each pair of points. Express your final answer in slope-intercept form.
20.
(2, 5) and (4, -3)
21.
(–5, 3) and (–1, –1)
22. (3, 7) and (0, -1)
Given the parent graph: f(x) = x2
Describe the transformations that take place in each of the following.
h(x) = x 2 + 3
23.
g(x) = 5(x+7) 2
24.
Graph each translation of the absolute value function
y x
26.
j(x) = -2x2 –3
25.
27. y 2 x 3
Graph the following Piecewise Function
28.
29. The table shows the relationship between x and y.
x 0 2 4 6 9
y 3 9 7 15 16
a) Make a scatter plot of the data and
describe the correlation.
b) Sketch in a trend line and use the
points you chose to write the
equation of the line of best fit.
c)
Use your equation from part b to estimate the value of y when x = 20.
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