Counting Zeros of a Periodic Odd Function

Problem

The function $f$ is odd, defined on all of $\mathbb{R}$ , has period $3$ , and

f(x) = \ln\left(x^2 - x + 1\right) \quad \text{for } x \in \left(0, \tfrac32\right).

How many solutions does $f(x) = 0$ have in $[0, 6]$ ?

Answer

Solution

Difficulty	5/10
Topics	functions

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