Solution

critical points

Solution

Solution steps
Absolute value functions are piecewise functions
Find the function intervals:
Evaluate the function behavior for each interval
Find where is equal to zero or undefined

Graph

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Popular Examples

critical f(x)=2x^2(1-x^2)critical f(x)=2x^4-9x^2+5critical xy^2+2xy+3x^3-3xcritical f(x)=-x^2+1critical f(x)=-x^2+8

Frequently Asked Questions (FAQ)

  • What is the critical f(x)=5-|x-5| ?

    The critical f(x)=5-|x-5| is x=5