Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If $f(x)=a\cos (bx+c)+d$, then what is the range of f(x)?

Options:

[d – a, a]

[d – a, d + a]

[d – a, –d + a]

[a – d, a + d]

Correct Answer:

[d – a, d + a]

Explanation:

$f(x)=a\cos (bx+c)+d$   . . . .(i)

For minimum $\cos (bx+c)=-1$

From (i), $f(x)=-a+d=(d-a)$

For maximum $\cos (bx+c)=1$

From (i), $f(x)=a+d=(d+a)$

Range of $f(x)=[d-a,d+a]$