SOLUTION: state the intervals where the function is increasing, decreasing, or constant. The function is: f(x)=-1|x-2|+2

Question 948369: state the intervals where the function is increasing, decreasing, or constant.
The function is: f(x)=-1|x-2|+2
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The critical value is at x=2. The function is split to two branches around x=2.

CASE :

because ;

CASE :

Definition for f:
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if and f is increasing.
if and f is decreasing (see the negative slope).
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Sometimes my work appears to skip a step.
Be aware of this idea: is an expression;

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Shorter,
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