The function defined as is

Maths Functions, Limits, Continuity and Differentiability NTA Abhiyas Question - Function Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Many one and onto

Many one and into

One-one and onto

One-one and into

Text Solution

Verified by Experts

The correct answer is:

Many one and into

Given,

Let, g (x) = x 3 - 3x + 2

g' (x) = 3x 2 - 3 - 3 (x 2 - 1)

g' (x) 0, for and

for

g (x) is increasing as well as decreasing in different intervals

(x) is many-one

Now, Range of f (x) is (0, e 4 ] , but co-domain is (0, e 5 ].

f (x) is into function

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