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If graph of a function f(x) which is def...

If graph of a function `f(x)` which is defined in [-1, 4] is shown in the following figure then identify the correct statement(s).

A

domain of `f(|x|-1)` is `[-5,5]`

B

range of `f(|x|+1)` is `[0,2]`

C

range of `f(-|x|)` is `[-1,0]`

D

domain of `f[-3,3]`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
(a) `-1le |x|-1 le4 rArr 0 le |x| le 5 rArr -5 le x le 5`
(b) `f(|x|+1)`
range of `f(|x|+1)` is [0, 2]

range of `f(-|x|)` is `[-1,0]`

(d) `-1 le |x| le 4 rArr x in [-4, 4]`
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