Five Zeros of a Periodic Odd Function

★ 8/10functions Quadratic Equations Symmetry

Problem

A function $f(x)$ on $\mathbb{R}$ is odd with period $6$ , and for $x \in (0, 3)$ ,

f(x) = \ln\left(2x^2 - 4x + a\right).

If $f(x)$ has exactly $5$ zeros in $[-3, 3]$ , find the range of possible values of the real number $a$ .

Answer

Solution

Difficulty	8/10
Topics	functions, Quadratic Equations, Symmetry

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