wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the domain and range of the following real function:

(i) f(x) = –|x| (ii)

Open in App
Solution

(i) f(x) = –|x|, x R

We know that |x| =

Since f(x) is defined for x R, the domain of f is R.

It can be observed that the range of f(x) = –|x| is all real numbers except positive real numbers.

The range of f is (–, 0].

(ii)

Sinceis defined for all real numbers that are greater than or equal to –3 and less than or equal to 3, the domain of f(x) is {x : –3 ≤ x ≤ 3} or [–3, 3].

For any value of x such that –3 ≤ x ≤ 3, the value of f(x) will lie between 0 and 3.

The range of f(x) is {x: 0 ≤ x ≤ 3} or [0, 3].


flag
Suggest Corrections
thumbs-up
35
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Theorems
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon