MTH 125: Polynomial function

Participation Exercise for MTH 125 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) = 8x + 5; f( 7) 1) _______

A) 61 B) 51 C) 112 D) 13

Solve the problem.

2) The polynomial function L(p) = – 5 + 20 gives the rate of gas leakage from a tank as pressure increases p units

from its initial setting. Will an increase of 4 units result in a lower rate of leakage compared to the initial setting?

2) _______

A) Yes B) No

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

3) f(x) = 5x – 3, g(x) = -7 – 16x + 9; (f – g)(x) 3) _______

A) -7 + 21x + 12 B) -7 – 11x + 6 C) 7 – 11x – 12 D) 7 + 21x – 12

Provide an appropriate response.

4) Let f(x) = – 3 and g(x) = 3x + 9. Find (f + g)( ). 4) _______

A) 8 B) C) D)

Evaluate the composition of functions.

5) Let f(x) = 8x + 2 and g(x) = x + 6. Find (f ? g)( 3). 5) _______

A) 74 B) 234 C) 32 D) 35

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

6) f(x) = 7x + 7 and g(x) = x2 – 5 6) _______

A) 49×2 + 14x – 7 B) x2 + 7x + 2 C) 7×2 – 28 D) x2 – 7x – 12

Answer the question.

7) A balloon in the shape of a sphere is deflating. Given that t represents the time, in minutes, since it began losing air, the

radius of the balloon (in cm) is Let the equation V(r) = ? represent the volume of a sphere of radius r.

Find and interpret (V ? r)(t). 7) _______

A) (V ? r)(t) = 20 – ? ; this is the volume of the air lost by the balloon (in ) as a function of time (in minutes).

B) (V ? r)(t) = ? ; this is the volume of the balloon (in ) as a function of time (in minutes).

C) (V ? r)(t) = ? ; this is the volume of the air lost by the balloon (in ) as a function of time (in minutes).

D) (V ? r)(t) = ? ; this is the volume of the balloon (in ) as a function of time (in minutes).

Give the domain and range of the function.

8) f(x) = – 8) _______

A) Domain: (-?, ?); range: (-?, 0) B) Domain: (-?, ?); range: (0, ?)

C) Domain: ; range: (-?, 0) D) Domain: (-?, ?); range: (-?, ?)

Graph the function.

9) r(x) = – 2x + 2

9) _______

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