At Least Three Zeros

★ 6/10functions Absolute Value Casework Discriminant

Problem

Let

f(x) = \min\left\{|x| - 2,\; x^2 - ax + 3a - 5\right\}.

If $f(x)$ has at least $3$ zeros, find the range of possible values of the real number $a$ .

Answer

Solution

Difficulty	6/10
Topics	functions, Absolute Value, Casework, Discriminant

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