# College Algebra Questions With Answers

Sample 2

## Question 1

How many x intercepts does the graph of the function f(x) = x^{ 3}+ 4 have?

A. 0

B. 1

C. 2

D. 3

## Question 2

If Log_{b}(5) = c, then b

^{ 4c}=

A. 4

B. 5

C. 25

D. 625

## Question 3

How many points of intersection do the graphs of the functions f(x) = x^{ 2}and g(x) = 2

^{ x}have?

A. 1

B. 2

C. 3

D. 4

## Question 4

The range of the function f(x) = -x^{ 2}+ 2x - 5 is given by

A. (0 , infity)

B. (-infinity , 4]

C. (-infinity , - 4]

D. (- infinity , - 5]

## Question 5

Which of these functions does not have an inverse?A. f(x) = |x - 5|

B. h(x) = 2x - 9

C. k(x) = ln(- x + 4)

D. j(x) = x

^{ 1/3}

## Question 6

The solution set of the inequality (x + 5)^{ 4}(x + 3) ≥ 0 is given by interval

A. [- 3 , infinity)

B. {- 5} U [- 3 , infinity)

C. (- infinity , infinity)

D. (- 3 , infinity)

## Question 7

The range of the function h(x) = -|x - 5| - 2 is give byA. (- infinity , 0)

B. (- infinity , - 2)

C. (-infinity , -2]

D. (- infinity , 2]

## Question 8

5 ln e^{ 2}- 2 ln (7e) + ln 49 =

A. 8

B. 3

C. 4 ln 7

D. 8e - 4 ln 7

## Question 9

If f(x) = x / (- x + 4) and g(x) = 2x + 2, then (f_{0}g)(1) =

A. 4/3

B. 4 1/3

C. 4

D. undefined

## Question 10

√(x^{ 2}+ 6x + 9) =

A. x + √(6x) + 3

B. x + 3

C. |x + 3|

D. (x + 3)

^{ 2}

## Question 11

If f(x) = x^{ 2}+ 1 for x ≤ 0, then f

^{ -1}(x) =

A. x -1

B. √(x - 1)

C. √(x + 1)

D. - √(x - 1)

## Question 12

The domain of f(x) = ln(2 - x) + ln(3 - x) is given byA. (-infinity , 2)

B. (2 , 3)

C. (-infinity , 3)

D. (-infinity , 2]

## Question 13

The solution set of the inequality (x - 1)^{ 2}≤ 0 is given by

A. (-infinity , infinity)

B. (-infinity , 1]

C. {1}

D. [1 , infinity)

## Question 14

The solution to the equation 2 (4^{ x+1}) = 4 (8

^{ x + 2})

A. -5

B. 1

C. 0

D. no solution

## Question 15

The number of solutions of the equation | - x^{ 2}+ 4x + 1 | = 5 is equal to

A. 1

B. 2

C. 3

D. 4

## Question 16

Using the absolute value concept, the statementmay be written as follows

A. |x + 6| ≥ 7

B. |x + 6| > 7

C. |x + 7| ≥ -6

D. |x + 7| ≥ 6

## Question 17

If f(2x + 3) = 2x - 1, then f(3x + 4) =A. 6x + 7

B. 3x

C. 6x + 11

D. 9x + 15

## Question 18

-x^{ 2}+ x - 3 =

A. -(x + 1/2)

^{2}-11/4

B. (x - 1/2)

^{2}-11/4

C. -(x - 1/2)

^{2}-11/4

D. -(x - 1/2)

^{2}+11/4

## Question 19

How many solutions do the equation 1/x + 1/(x + 1) = 1/3 have?A. 0

B. 1

C. 2

D. 3

## Question 20

If the whole graph of function f lies in quadrant IV, then the graph of the inverse of f lies in quadrantA. I

B. II

C. III

D. IV

## Answers to the Above Questions

- B
- D
- B
- C
- A

- B
- C
- A
- D
- C

- D
- A
- C
- A
- C

- A
- B
- C
- C
- D

### More References and links

Algebra Questions and problemsMore ACT, SAT and Compass practice