A set of college algebra multiple choice questions, with answers, are presented. The answers are at the bottom of the page.

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

If Log_{b}(5) = c, then b^{ 4c} =

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

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] 

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}


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) 

The range of the function h(x) = x  5  2 is give by
A. (infinity , 0) 
B. (infinity , 2) 
C. (infinity , 2] 
D. (infinity , 2] 

5 ln e^{ 2}  2 ln (7e) + ln 49 =
A. 8 
B. 3 
C. 4 ln 7 
D. 8e  4 ln 7 

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 

√(x^{ 2} + 6x + 9) =
A. x + √(6x) + 3 
B. x + 3 
C. x + 3 
D. (x + 3)^{ 2}


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) 

The domain of f(x) = ln(2  x) + ln(3  x) is given by
A. (infinity , 2) 
B. (2 , 3) 
C. (infinity , 3) 
D. (infinity , 2] 

The solution set of the inequality (x  1)^{ 2} ≤ 0 is given by
A. (infinity , infinity) 
B. (infinity , 1] 
C. {1} 
D. [1 , infinity) 

The solution to the equation 2 (4^{ x+1}) = 4 (8^{ x + 2})
A. 5 
B. 1 
C. 0 
D. no solution 

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

Using the absolute value concept, the statement
The distance from x to 6 is not less than 7
may be written as follows
A. x + 6 ≥ 7 
B. x + 6 > 7 
C. x + 7 ≥ 6 
D. x + 7 ≥ 6 

If f(2x + 3) = 2x  1, then f(3x + 4) =
A. 6x + 7 
B. 3x 
C. 6x + 11 
D. 9x + 15 

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


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

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

