A set of college algebra multiple choice questions, with answers, are presented. The answers are at the bottom of the page.
Question 1How many x intercepts does the graph of the function f(x) = x^{ 3} + 4 have?A. 0 B. 1 C. 2 D. 3 Question 2If Log_{b}(5) = c, then b^{ 4c} =A. 4 B. 5 C. 25 D. 625 Question 3How 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 4The range of the function f(x) = x^{ 2} + 2x  5 is given byA. (0 , infity) B. (infinity , 4] C. (infinity ,  4] D. ( infinity ,  5] Question 5Which 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 6The solution set of the inequality (x + 5)^{ 4}(x + 3) ≥ 0 is given by intervalA. [ 3 , infinity) B. { 5} U [ 3 , infinity) C. ( infinity , infinity) D. ( 3 , infinity) Question 7The range of the function h(x) = x  5  2 is give byA. ( infinity , 0) B. ( infinity ,  2) C. (infinity , 2] D. ( infinity , 2] Question 85 ln e^{ 2}  2 ln (7e) + ln 49 =A. 8 B. 3 C. 4 ln 7 D. 8e  4 ln 7 Question 9If 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 11If 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 12The 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 13The solution set of the inequality (x  1)^{ 2} ≤ 0 is given byA. (infinity , infinity) B. (infinity , 1] C. {1} D. [1 , infinity) Question 14The solution to the equation 2 (4^{ x+1}) = 4 (8^{ x + 2})A. 5 B. 1 C. 0 D. no solution Question 15The number of solutions of the equation   x^{ 2} + 4x + 1  = 5 is equal toA. 1 B. 2 C. 3 D. 4 Question 16Using 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 17If f(2x + 3) = 2x  1, then f(3x + 4) =A. 6x + 7 B. 3x C. 6x + 11 D. 9x + 15 Question 18x^{ 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 19How many solutions do the equation 1/x + 1/(x + 1) = 1/3 have?A. 0 B. 1 C. 2 D. 3 Question 20If 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
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