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Popular >

extreme 1/(1-|x+3|)

Solution

extreme points

\frac{1}{1 - ∣ x + 3 ∣}

Solution

Minimum (- 3, 1)

Solution steps

Find the critical points:

x = - 3

Find intervals:

Decreasing

: - \infty < x < - 4,

Decreasing

: - 4 < x < - 3,

Increasing

: - 3 < x < - 2,

Increasing

: - 2 < x < \infty

Plug the extreme point

x = - 3

into

\frac{1}{1 - ∣ x + 3 ∣} \Rightarrow y = 1

Minimum (- 3, 1)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 1/(1-|x+3|) ?
The extreme 1/(1-|x+3|) is Minimum(-3,1)