Algebra 2 5.0
UNIT 1 REVIEW
Name: __________________
Date: ___________ Pd: ___
NOTICE: ON TESTS, NO WORK = NO CREDIT!
Determine if the graph is a function. Then find the domain and range.
y
1)
2)
y
x
x
Function? ____________________
Function? _____________________
Domain: _____________________
Domain: ______________________
Range:
Range:
_____________________
______________________
Evaluate the following functions using the graph below:
y
x
1
3) 4f ( 1)  f ( 5) 
3
1
4) 3f (2)  f ( 7) 
2
5)
f (5)

2f (1)
Perform the indicated operation with the given functions:
f (x )  2x  6
g (x ) 
3
x 6
4
Don’t forget domain restrictions where necessary.
h (x )  x 2  2x
6)
( g  f )(x ) 
7)
(f  g )(x ) 
8)
h ( g (x )) 
9)
h
( )(x ) 
f
10)
f ( g (6)) 
11)
(f  g )(5) 
Using the given graph, perform the following transformations on the blank graph provided.
12)
1
 f (x  2)  3
2
y
y
x
x
Graph each absolute value equation on the grid provided:
13)
14)
y 2x 3 4
y 
y
1
x  4 1
3
y
x
x
Find the equation of each graph shown below:
15)
____________________
16) _____________________
y
y
x
x
Identify each transformation from the function f (x )  x to the given f(x).
17)
f (x )  2 x  7  6
18) f (x )  
3
x 2 1
4
______________________________________
______________________________________
Write the function for each graph described below.
19) the graph of f (x )  x is reflected over the x axis, vertically compressed by a factor of ⅜ ,
translated 3 units down and translated 5 units to the left.
_________________________
20) the graph of f (x )  x is vertically stretched by a factor of 4 and translated 6 units right.
_________________________
Solve each equation for x:
21)
2x  5  6  3
22) 4x  3  7 x  5
x = _______________
x = _______________
Solve each inequality. Graph the solution on a number line. Answer must be in interval notation:
23)

2
x  8  100
5
IN = ________________
24) 2 3x  4  5  86
IN = _______________
Solve each word problem: On another piece of paper, you must write an equation, solve
showing the necessary steps, and box your answer.
25) Three consecutive odd integers have a sum of 105. What are the three numbers?
26) I can drive to my aunt’s house in Maine in an average of 8 ½ hrs. The drive can vary by
about an hour, depending on traffic. Write and solve an absolute value equation to show the
range of drive times.
27) Bridget was in a field hockey tournament last week. Their average game score was 8, but
varied by 3 points for the tournament games. Write and solve an absolute value equation to
show the range of scores.