Mathematics 4

Homework Assignment MTH 4 for Week 4 – August 2, 2021

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

For the polynomial function, find the requested value.

1) f(x) = -7x + 6; f( 2) 1) _______

A) -1 B) -20 C) -28 D) -8

2) f(x) = 3 - 5x - 3; f( 2) 2) _______

A) -5 B) -7 C) -11 D) -1

3) f(x) = -2 + 7x + 8; f( -3) 3) _______

A) -41 B) -7 C) -35 D) -31

Solve the problem.

4) The polynomial gives the approximate total earnings of a company, in millions of

dollars, where corresponds to 1996, corresponds to 1997, and so on. This model is valid for the years from

1996 to 2000. Determine the earnings for 1999. Round your answer to the nearest hundredth million. 4) _______

A) $ 1.95 million B) $ 1.9 million C) $ 2.15 million D) $ 1.71 million

5) The polynomial 0.0056 + 0.006 + 0.0045 + 0.16x + 1.77 gives the predicted sales volume of a company, in

millions of items, where x is the number of years from now. Determine the predicted sales 9 years from now. Round

your answer to the nearest hundredth million. 5) _______

A) 79.82 million B) 38.06 million C) 44.69 million D) 47.14 million

6) A(x) = -0.015 + 1.05x gives the alcohol level in an average person's bloodstream x hours after drinking 8 oz of

100-proof whiskey. If the level exceeds 1.5 units, a person is legally drunk. Would a person be drunk after 7 hours?

6) _______

A) No B) Yes

For the given pair of functions, find the requested function.

7) f(x) = 5x - 3, g(x) = -7x + 8; (f + g)(x) 7) _______

A) 12x - 5 B) -2x + 5 C) -3x + 11 D) -2 + 5

8) f(x) = 4x - 4, g(x) = -7x + 6; (f - g)(x) 8) _______

A) -3x - 2 B) 11x - 10 C) 11x + 10 D) -3 + 10

9) f(x) = + 4x - 3, g(x) = -9 + 7x - 8; (f + g)(x) 9) _______

A) -9 + 11x + 11 B) -8 + 11x - 11 C) -10 + 11x + 11 D) -8 - 11x - 11

Provide an appropriate response.

10) Let f(x) = - 7 and g(x) = 2x + 6. Find (f - g)( 5). 10) ______

A) 3 B) 0 C) 7 D) 2

Evaluate the composition of functions.

11) Let f(x) = + 2 and g(x) = 3x + 6. Find (g ∘ f)( 5). 11) ______

A) 75 B) 87 C) 33 D) 443

Find (f ∘g)(x) for the given functions f(x) and g(x).

12) f(x) = 8x + 10 and g(x) = 5x - 1 12) ______

A) 40x + 18 B) 40x + 49 C) 40x + 2 D) 40x + 9

13) f(x) = 7x + 6 and g(x) = 7x - 6 13) ______

A) 12 B) 49x - 36 C) 49x + 36 D) 14x

14) f(x) = x + 7 and g(x) = 8x - 9 14) ______

A) 8x - 2 B) 8x + 47 C) 9x - 2 D) 7x + 16

Answer the question.

15) The function f(x) = 60x computes the number of minutes in x hours. The function g(x) = 24x computes the number of

hours in x days. What is (f ∘ g)(x) and what does it compute? 15) ______

A) (f ∘ g)(x) = 1440 ; it computes the number of minutes in x days.

B) (f ∘ g)(x) = 1440x; it computes the number of days in x minutes.

C) (f ∘ g)(x) = 84x; it computes the number of minutes plus the number of days in x days.

D) (f ∘ g)(x) = 1440x; it computes the number of minutes in x days.

Give the domain and range of the function.

16) f(x) = -5x - 4 16) ______

A) Domain: (0, ∞); range: (-∞, 0) B) Domain: (-5, ∞); range: (-∞, 4)

C) Domain: (-∞, ∞); range: (-∞, ∞) D) Domain: (-∞, ∞); range: (-∞, -4)

17) f(x) = 15x 17) ______

A) Domain: (-∞, 15); range: (-15, ∞) B) Domain: (-∞, ∞); range: (-∞, ∞)

C) Domain: (-15, 15); range: (-∞, ∞) D) Domain: (-∞, -15); range: (-∞, ∞)

18) f(x) = 4 - 3 18) ______

A) Domain: (-∞, ∞); range: (-3, ∞) B) Domain: (-∞, ∞); range: (-∞, 3)

C) Domain: (-∞, 4); range: (-∞, ∞) D) Domain: (-3, ∞); range: (-∞, ∞)

Graph the function.

19) f(x) = - 4

19) ______

A)

B)

C)

D)

20) g(x) = + 2x - 2

20) ______

A)

B)

C)

D)