# Playing with Graphs - 7

Calculus Level 5

You are given the function :

$$f (x) = \max ( e^x , x^2 , x^4 )$$

The number of points where the function is non - differentiable is $$A$$

The number of points where the function is non - continuous is $$B$$

The number of zeroes of the function is $$C$$

Enter your answer as $$A + [\frac{B}{2}] + 2×C$$

, where [ ] represents greatest integer function.

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