Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The range of the function $f(x) = \sin(\sin^{–1}\{x\})$ where {.} is a fractional part of x is

Options:

[0, 1)

[0, 1]

(–1, 1)

None of these

Correct Answer:

[0, 1)

Explanation:

We know $0 ≤ \{x\} < 1$

$0 \leq \sin^{-1}\{x\}<\frac{\pi}{2}$

Hence (1) is the correct answer.