Unit Test — Cumulative exam Answers

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21
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Which is equal to –214°?

A
radians
Option A
B
radians
Option B
C
radians
Option C
D
radians
Option D
22
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Which of the following describes the graph of ?

Question illustration
A
The graph has closed circles on the left of each step and open circles on the right and includes the step .
Option A
B
The graph has closed circles on the left of each step and open circles on the right and includes the step .
Option B
C
The graph has open circles on the left of each step and closed circles on the right and includes the step .
Option C
D
The graph has open circles on the left of each step and closed circles on the right and includes the step .
Option D
23

Which is the graph of the function ?

Question illustration
A
On a coordinate plane, the x axis ranges from negative pi to pi with an interval of pi by 4 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 2. The curve crosses the x axis at (pi comma 0), (0 comma 0) and (negative pi comma 0).
Option A
B
On a coordinate plane, the x axis ranges from negative pi to pi with an interval of pi by 4 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 2. The curve crosses the x axis at (pi comma 0), (0 comma 0) and (negative pi comma 0).
Option B
C
On a coordinate plane, the x axis ranges from negative pi to pi with an interval of pi by 4 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 4. The curve crosses the x axis at (pi by 2 comma 0) and (negative 3 pi by 4 comma 0). The y-intercept is at (0 comma negative 2).
Option C
D
On a coordinate plane, the x axis ranges from negative pi to pi with an interval of pi by 4 units and the y axis ranges from negative 6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of pi. The curve has vertical asymptotes at x equals plus or minus n times pi by 4. The curve crosses the x axis at (pi by 2 comma 0) and (negative 3 pi by 4 comma 0). The y-intercept is at (0 comma negative 1).
Option D
24

Which best describes the end behavior of ?

Question illustration
A
As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases.
B
As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) decreases.
C
As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) increases.
D
As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) increases.
25

For , which expression is equivalent to ?

Question illustration
A
StartFraction 1 Over StartRoot 2 (1 + cosine x) EndRoot EndFraction
Option A
B
StartFraction 1 Over StartRoot 2 (1 minus cosine x) EndRoot EndFraction
Option B
C
(StartRoot StartFraction 1 + cosine (x) Over 2 EndFraction EndRoot) (StartFraction 1 Over 1 minus cosine (x) EndFraction)
Option C
D
(StartFraction 1 + cosine (x) Over StartRoot 2 (1 minus cosine x) EndRoot EndFraction) (StartFraction 1 Over 1 minus cosine (x) EndFraction)
Option D

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