17
practice examMultiple Choice

Practice Exam

Question 17 • Mathematics III

The graph of which function passes through open paren 0 comma 3 close paren and has an amplitude of 3 ?

Answer
A
f of x is equal to sine of x plus 3
B
f of x is equal to 3 sine x
C
f of x is equal to 3 cosine x
D
f of x is equal to cosine of x plus 3

Explanation

The amplitude of a function of the form 3 cos x is 3, because the coefficient 3 scales the cosine’s height. At x = 0, cos 0 = 1, so 3 cos 0 = 3; therefore, its graph passes through (0, 3). The correct choice is C, f(x) = 3 cos x.

AI-written and checked against the verified answer.

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