JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Understanding +4 | -1

f(x)

satisfies the relation

f(x+y)=f(x)+f(y)

for all

x, y \in R

and

f(1)=5

then

f(x)

View answer and explanation

Correct option: B

An odd function

Option B (An odd function) is correct because the given relation

f(x+y) = f(x) + f(y)

with

f(1) = 5

implies that

f(x) = 5x

, which is a linear function passing through the origin, and thus an odd function.

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