The function f : X → Y, defined by f(x) = x 2 − 4x + 5 is b…

Maths Functions, Limits, Continuity and Differentiability General More Than One Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

The function f : X → Y, defined by f(x) = x 2 − 4x + 5 is both one − one and onto if

X = [2, ∞ ) & Y = [1, ∞ )

X = (– ∞ , 2] & Y = [1, ∞ )

X = [3, ∞ ) & Y = [2, ∞ )

X = (– ∞ , 2] & Y = (1, ∞ )

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a,c)

f : [2, ∞ ) → Y

f(x) = x 2 – 4x + 5

f(x) = (x – 2) 2 + 1

For given domain by graph range is [1, ∞ )

For function to be onto codomain y = [1, ∞ )

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