General PreCalculus – Chapter 1 Part B Test Review
NAME: ___________________________
Given the functions below, find the indicated value.
f  x  x 1
2) h  g  x  
1)  g h  x 
1
x
g  x   x2  4
h  x 
3)  g f  x 
4) g  h  1 
5)  g f 15
Graph the piecewise function.
 x 

7) f  x    x  2
5  x

3x 2  5, x  4

6) f  x    2, 0  x  4
2 x  15, x  0

if  10  x  5
if  5  x  3
if x  3
Write a rule/model for the function whose graph can be obtained from the given parent
function by performing all three of the given transformations.
2
8) Parent function: f  x   x
9) Parent function: f  x  
Transformations:
- Reflect across the y-axis
x
Transformations:
- Reflect across the x-axis
- Shift left 2 units
- Horizontally compress by a factor of
- Stretch vertically by a factor of 3
- Shift down 5 units
1
2
Identify the parent function, then describe the transformations from the parent function to g(x).
10) y  7  x  4   1
5
1
 x  8
2

12) y   x  15
11) y   
13) y  3 4  x  3  2
14) y  
2
x  10
3
General PreCalculus – Chapter 1, Part B Test Review
Determine if the inverse is a function. If so, find the inverse.
15) f  x  
x 5  2
16) f  x  
5
17) g  x   2 x  1
x3  1
Determine if the following functions are one-to-one.
18)
19)
20)