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)=x^3+3x^2-24x+12critical f(x,y)=2x+y-xy+190critical y=6x-6critical (9-x)(9-y)(x+y-9)critical f(x)=(x^2+3)/(x^3-9)

Frequently Asked Questions (FAQ)

  • What is the critical f(x)=x|x| ?

    The critical f(x)=x|x| is x=0