JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)

be a monotic polynomial of degree

(2 m-1)

, where

m \in N

. Then, the equation

f(x)+f(3 x)+f(5 x)+\ldots+f((2 m-1) x)=(2 m-1)

has

View answer and explanation

Correct option: C

Exactly one real root

Option C (Exactly one real root) is correct because the function is monotonic and of odd degree, guaranteeing it crosses the x-axis only once.

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