Find the domain and range of each relation, and determine

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.






