Question 1

Given the function

f(x) = 3 \sin(2x - \pi) + 5

, what is the period and the phase shift of the graph?

Accepted Answer

Period:

f(x) = 3 \sin(2x - \pi) + 5

, Phase Shift:

\frac{\pi}{2}

to the right

Answer

Period:

f(x) = 3 \sin(2x - \pi) + 5

, Phase Shift:

\frac{\pi}{2}

units up

Answer

Period:

f(x) = 3 \sin(2x - \pi) + 5

, Phase Shift:

\frac{\pi}{2}

to the left

Answer

Period:

f(x) = 3 \sin(2x - \pi) + 5

, Phase Shift:

\frac{\pi}{2}

to the right

Question 2

What are the zeros of the polynomial function

f(x) = 3 \sin(2x - \pi) + 5

given that

\frac{\pi}{2}

is one of its factors?

Accepted Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Question 3

Which of the following represents the solution to the equation

f(x) = 3 \sin(2x - \pi) + 5

?

Accepted Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

and

x = -7

Answer

x = 1, x = 5, x = -2

Question 4

In a right triangle, if

f(x) = 3 \sin(2x - \pi) + 5

and

\frac{\pi}{2}

is in the fourth quadrant, what is the exact value of

an(	heta)

?

Accepted Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Question 5

What is the inverse function of

f(x) = 3 \sin(2x - \pi) + 5

for all

\frac{\pi}{2}

?

Accepted Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Question 6

What is the sum of the first 20 terms of an arithmetic sequence where the first term

f(x) = 3 \sin(2x - \pi) + 5

and the common difference

\frac{\pi}{2}

?

Accepted Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Question 7

What is the focus of the parabola defined by the equation

f(x) = 3 \sin(2x - \pi) + 5

?

Accepted Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Question 8

Which of the following describes the end behavior of the polynomial function

f(x) = 3 \sin(2x - \pi) + 5

?

Accepted Answer

As

f(x) = 3 \sin(2x - \pi) + 5

and as

\frac{\pi}{2}

Answer

As

f(x) = 3 \sin(2x - \pi) + 5

and as

\frac{\pi}{2}

Answer

As

f(x) = 3 \sin(2x - \pi) + 5

and as

\frac{\pi}{2}

Answer

As

f(x) = 3 \sin(2x - \pi) + 5

and as

\frac{\pi}{2}

Question 9

What are the vertical asymptote(s) and the horizontal asymptote of the rational function

f(x) = 3 \sin(2x - \pi) + 5

?

Accepted Answer

Vertical:

f(x) = 3 \sin(2x - \pi) + 5

; Horizontal:

\frac{\pi}{2}

Answer

Vertical:

f(x) = 3 \sin(2x - \pi) + 5

; Horizontal:

\frac{\pi}{2}

Answer

Vertical:

f(x) = 3 \sin(2x - \pi) + 5

; Horizontal:

\frac{\pi}{2}

Answer

Vertical:

f(x) = 3 \sin(2x - \pi) + 5

; Horizontal:

\frac{\pi}{2}

Question 10

What is the exact value of

f(x) = 3 \sin(2x - \pi) + 5

?

Accepted Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

Answer

x = 1, x = 5, x = -2

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