16
practice testMultiple Choice

Practice Test

Question 16 • Mathematics III

Which of the following is true for f of x is equal to negative 2 sine x minus 3 ?

Answer
A
The range of the function is the set of real numbers negative 2 is less than or equal to y comma y is less than or equal to 2 .
B
The amplitude of the function is 2 .
C
The graph of the function is the graph of f of x is equal to negative 2 sine x shifted 3 units up.
D
The period of the function is 4 pi .

Explanation

For a function of the form a sin x + d, the amplitude is |a|. Here a = −2, so the amplitude is |−2| = 2, making “The amplitude of the function is 2” true. Since the graph is shifted 3 units down, its range is [−5, −1], and its period remains 2π.

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