Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If the graph of the function y = f(x) is symmetrical about the line x = 2, then

Options:

$f (x) = − f (− x)$

$f (2 + x) = f (2 − x)$

$f (x) = f (− x)$

$f (x + 2) = f (x − 2)$

Correct Answer:

$f (2 + x) = f (2 − x)$

Explanation:

If the graph of f(x) is symmetrical about the line x = 2, then

$f (2 + x)= f (2 − x)$ for all $x∈R$