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Popular >

extreme f(x)=1-|x-7|

Solution

extreme points

f (x) = 1 - ∣ x - 7 ∣

Solution

Maximum (7, 1)

Solution steps

Find the critical points:

x = 7

Find intervals:

Increasing

: - \infty < x < 7,

Decreasing

: 7 < x < \infty

Plug the extreme point

x = 7

into

1 - ∣ x - 7 ∣ \Rightarrow y = 1

Maximum (7, 1)

Popular Examples

extreme f(x,y)=(x^2-49)^2+(y^2-9)^2 extreme points

f (x, y) = (x^{2} - 49)^{2} + (y^{2} - 9)^{2}

extreme f(x)=12x^2-x^3 extreme points

f (x) = 12 x^{2} - x^{3}

extreme x^3-3x+1,-3/2 <= x<= 3 extreme points

x^{3} - 3 x + 1, - \frac{3}{2} \leq x \leq 3

extreme F(X,Y)=X(X+Y)+X(X+Y)extreme points

F (X, Y) = X (X + Y) + X (X + Y)

extreme-x^2-3.7x-6.5 extreme points

- x^{2} - 3.7 x - 6.5

Frequently Asked Questions (FAQ)

What is the extreme f(x)=1-|x-7| ?
The extreme f(x)=1-|x-7| is Maximum(7,1)