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Evaluating the Six Trigonometric Functions Answers

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6

Which of the following describe the sine function? Check all that apply.

A
Its range is all real numbers.
B
Its period is .
C
Its maximum is –1.
D
Its domain is all real numbers.
E
Its maximum is 1.
9

The domain is all real numbers for .

A
the sine function
B
the cosine function
C
both the sine and cosine function
11

.

Answer:

4.

14

The graph shows the function .

Question illustration
A
y = sin(x) + 6
B
y = cos(x) – 6
C
y = sin(x) – 6
D
y = cos(x) + 6
15

Identify the transformations needed to graph the cosine function y = –0.5cos(x) – 3 from the parent cosine function. Check all that apply.

A
vertical compression by a factor of 0.5
B
reflection across the y-axis
C
vertical translation 3 units down
D
vertical stretch by a factor of 0.5
E
reflection across the x-axis
F
vertical translation 3 units up
G
vertical translation 0.5 units down
17

An x-intercept is for .

Question illustration
A
the sine function
B
the cosine function
C
both the sine and cosine function
19

The maximum value is .

A
0.25
B
0.5
C
0.75
D
1

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