A set of college algebra multiple choice questions, with answers, are presented. The answers are at the bottom of the page.
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How many x intercepts does the graph of the function f(x) = x 3 + 4 have?
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If Logb(5) = c, then b 4c =
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How many points of intersection do the graphs of the functions f(x) = x 2 and g(x) = 2 x have?
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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] |
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Which of these functions does not have an inverse?
A. f(x) = |x - 5| |
B. h(x) = 2x - 9 |
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C. k(x) = ln(- x + 4) |
D. j(x) = x 1/3
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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) |
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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] |
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5 ln e 2 - 2 ln (7e) + ln 49 =
A. 8 |
B. 3 |
C. 4 ln 7 |
D. 8e - 4 ln 7 |
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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 |
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√(x 2 + 6x + 9) =
A. x + √(6x) + 3 |
B. x + 3 |
C. |x + 3| |
D. (x + 3) 2
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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) |
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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] |
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The solution set of the inequality (x - 1) 2 ≤ 0 is given by
A. (-infinity , infinity) |
B. (-infinity , 1] |
C. {1} |
D. [1 , infinity) |
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The solution to the equation 2 (4 x+1) = 4 (8 x + 2)
A. -5 |
B. 1 |
C. 0 |
D. no solution |
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The number of solutions of the equation | - x 2 + 4x + 1 | = 5 is equal to
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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 |
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If f(2x + 3) = 2x - 1, then f(3x + 4) =
A. 6x + 7 |
B. 3x |
C. 6x + 11 |
D. 9x + 15 |
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-x 2 + x - 3 =
A. -(x + 1/2)2-11/4
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B. (x - 1/2)2-11/4
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C. -(x - 1/2)2-11/4
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D. -(x - 1/2)2+11/4
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How many solutions do the equation 1/x + 1/(x + 1) = 1/3 have?
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If the whole graph of function f lies in quadrant IV, then the graph of the inverse of lies in quadrant
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