Algebra

STC - Department of Mathematics Math 1414 - College Algebra Sample Review Questions for Test # 4 Name___________________________________ Note: Show all the necessary steps in arriving at your answers.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Decide whether the given functions are inverses. 1) f = (-2, -6), (2, 5), (5, -2), (6, 11) g = (-6, -2), (5, 2),(-2, 5), (11, 6) A) Yes Decide whether or not the functions are inverses of each other. 1 2) f(x) = 8x - 8, g(x) = x + 1 8 A) No 3) f(x) = 1 7x + 1 , g(x) = x+7 x B) No B) Yes

1) B) No

2)

3)

A) Yes

If the following defines a one-to-one function, find its inverse. If not, write Not one-to-one. 4) {(-10, 4), (-12, 14), (12, -12)} A) {(4, -10), (14, -12), (-12, 12)} B) {(4, -10), (12, -12), (-12, 14)} D) Not one-to-one C) {(-10, 14), (-10, -12), (-12, 12)} If f is one-to-one, find an equation for its inverse. 5) f(x) = 7x - 4 A) Not a one-to-one function x C) f-1 (x) = + 4 7 9 x+5 B) f-1 (x) = D) f-1 (x) = 5 + 9x x x 5 + 9x x-4 B) f-1 (x) = 7 x+4 D) f-1 (x) = 7

4)

5)

6) f(x) =

6)

A) Not a one-to-one function -5x + 9 C) f-1 (x) = x 7) f(x) = x3 - 1 A) f-1 (x) = C) f-1 (x) = 3 3 x+1 x+1

7) B) Not a one-to-one function 3 D) f-1 (x) = x - 1

1

Find the function value. If the result is irrational, round your answer to the nearest thousandth. 1 x . Find f(-2). 8) Let f(x) = 5 A) -10 B) 1 25 C) 25 D) 1 25

8)

Solve the equation. 1 x 9) = 64 4 A) {-3} B) 1 3 C) {3} D) 1 3

9)

10) 2 (7 + 3x) = A) 3

1 4 B) 1 2 C) 4 D) -3

10)

Find the future value. 11) $2679 invested for 7 years at 8% compounded quarterly A) $4639.16 B) $4664.20 C) $4681.34 Find the present value of the future value. 12) $4000, invested for 6 years at 8% compounded monthly A) $2527.08 B) $6454.01 C) $2479.08

11) D) $4591.34

12) D) $6406.01

Solve the problem. 13) Find the required annual interest rate, to the nearest tenth of a percent,... [continues]

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