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Popular >

extreme f(x)=|x-5|+1

Solution

extreme points

f (x) = ∣ x - 5 ∣ + 1

Solution

Minimum (5, 1)

Solution steps

Find the critical points:

x = 5

Find intervals:

Decreasing

: - \infty < x < 5,

Increasing

: 5 < x < \infty

Plug the extreme point

x = 5

into

∣ x - 5 ∣ + 1 \Rightarrow y = 1

Minimum (5, 1)

Graph

Popular Examples

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extreme f(x)=x^3+3x^2-9x-1 extreme points

f (x) = x^{3} + 3 x^{2} - 9 x - 1

extreme f(x,y)=(1/2-x^2+y^2)e^{1-x^2-y^2}extreme points

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extreme f(x)=x^2-8x+9 extreme points

f (x) = x^{2} - 8 x + 9

Frequently Asked Questions (FAQ)

What is the extreme f(x)=|x-5|+1 ?
The extreme f(x)=|x-5|+1 is Minimum(5,1)