Number 
Question 
Answer 
See the work 
1.

For the function ƒ(x) given in the graph
Match the following functions with their graphs. Enter the letter of the graph below which corresponds to the function.
1. y=ƒ(x2)
2. y=ƒ(x)
3. y=2f(x)
4. y=ƒ(x)2

1. D
2. C
3. B
4. A

The work
Point Cost: 3 
2.

The graph of y=ƒ(x) is given below (in blue), along with several related graphs (which are in red).
For each equation, enter the letter of the corresponding graph.
1. y= ƒ(x+4)
2. y= ƒ(x4)
3. y= 2ƒ(x+6)
4. y= (1/3)ƒ(x)
5. y=ƒ(x)+3

1. B
2. A
3. D
4. E
5. C

The work
Point Cost: 3 
3.

The graph of y=x^36x^2 is given below:
Find a formula for the transformation whose graph is given below
y=_______

y= (x^3)+6*(x^2)+8 
The work
Point Cost: 2 
4.

The graph of y=x^2 is given below:
Find a formula for each of the transformations whose graphs are given below
a)
y=______
b)
y=______

a) y=(x3)^2
b) x^2+3

The work
Point Cost: 2 
5.

The graph of y=sqrt(x) is given below:
Find a formula for each of the transformations whose graphs are given below
a)
y=______
b)
y=______

a)
b)

The work
Point Cost: 2 
6.

The graph of y= x is given below:
Find a formula for each of the transformations whose graphs are given below
a)
y= _______
b)
y=_______

a) y= 3x
b) y= 3x

The work
Point Cost: 3 
7.

The graph of the function y=ƒ(x20)+49 can be obtained from the graph of y=ƒ(x) by one of the following actions:
(a) shifting the graph of f (x) to the right 20 units (b) shifting the graph of f (x) to the left 20 units (c) vertically stretching the graph of f (x) by a factor 20 (d) vertically shrinking the graph of f (x) by a factor 20 Answer_______
Then, followed by one of the following actions:
(e) shifting the resulting graph upward 49 units (f) shifting the resulting graph downward 49 units (g) horizontally stretching the resulting graph by a factor 49 (h) horizontally shrinking the resulting graph by a factor 1/49 Answer______

A
E

The work
Point Cost: 1 
8.

The graph of the function y = 42 f (x) can be obtained from the graph of y = f (x) by one of the following actions: (a) horizontally stretching the graph of f (x) by a factor 42 (b) horizontally shrinking the graph of f (x) by a factor 42 (c) vertically stretching the graph of f (x) by a factor 42 (d) vertically shrinking the graph of f (x) by a factor 42 Answer _____
Then followed by one of the following actions:
(e) reflecting the resulting graph in xaxis (f) reflecting the resulting graph in yaxis Answer _____

C
E

The work
Point Cost: 1 
9.

Given that ƒ(x)=sqrt(1+x) and g(x)=sqrt(1x), find formulas for the following functions, and their domains. In each case, enter the domain using interval notation.

a)
domain: [1,1]
b)
domain: [1, 1]
c)
domain: [1,1]
d)
domain: [1,1)

The work
Point Cost: 4 
10.

Given that ƒ(x)=x^2+4 and g(x)=x+5, calculate

a)
domain: (∞, ∞)
b)
domain: (∞, ∞)
c)
domain: (∞, ∞)
d) x+10
domain: (∞, ∞)

The work
Point Cost: 4 
11.

Given that ƒ(x)=1/x and g(x)=3x+5, calculate

a) 1/(3x+5)
domain≠ 5/3
b) (3/x)+5
domain≠ 0
c) x
domain≠ 0
d) 3(3x+5)+5
domain: (∞, ∞)

The work
Point Cost: 4 
12.

Express the function h(x)=(x+9)^3 in the form ƒ o g. If ƒ(x)=x^3, find the function g(x)

g(x)= x+9 
The work
Point Cost: 3 
13.

Express the function h(x)=1/(x+8) in the form ƒ o g. If g(x)=x+8, find the function ƒ(x).

1/x 
The work
Point Cost: 3 
14.

For the function ƒ(x) and g(x) are given in the following graph
Find the corresponding function values
1. ƒ(g(3))
2. ƒ(g(2))

1. 2
2. 4

The work
Point Cost: 3 