If $ f(x)=a \cos (b x+c)+d $, then range of $ f(x) $ is

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Understanding +4 | -1

f(x)=a \cos (b x+c)+d

, then range of

f(x)

View answer and explanation

Correct option: D

[d-a, d+a]

Option D (

[d-a, d+a]

) is correct because the range of

\cos(bx+c)

is [-1, 1], so the range of

a\cos(bx+c)

is [-a, a], and adding d shifts the range to [d-a, d+a].

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