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Popular >

extreme f(x)=|2x+1|

Solution

extreme points

f (x) = ∣ 2 x + 1 ∣

Solution

Minimum (- \frac{1}{2}, 0)

Solution steps

Find the critical points:

x = - \frac{1}{2}

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{2},

Increasing

: - \frac{1}{2} < x < \infty

Plug the extreme point

x = - \frac{1}{2}

into

∣ 2 x + 1 ∣ \Rightarrow y = 0

Minimum (- \frac{1}{2}, 0)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=|2x+1| ?
The extreme f(x)=|2x+1| is Minimum(-1/2 ,0)