What is the extreme f(x)=5x^2-10x+2,-4<= x<= 2 ?

The extreme f(x)=5x^2-10x+2,-4<= x<= 2 is Maximum(-4,122),Minimum(1,-3),Maximum(2,2)

Popular >

extreme f(x)=5x^2-10x+2,-4<= x<= 2

extreme points

f (x) = 5 x^{2} - 10 x + 2, - 4 \leq x \leq 2

Maximum (- 4, 122), Minimum (1, - 3), Maximum (2, 2)

Solution steps

Find the critical points:

x = - 4, x = 1, x = 2

Domain of

5 x^{2} - 10 x + 2, - 4 \leq x \leq 2 : - 4 \leq x \leq 2

Find intervals:

Decreasing

: - 4 < x < 1,

Increasing

: 1 < x < 2

Plug the extreme point

x = - 4

into

5 x^{2} - 10 x + 2 \Rightarrow y = 122

Maximum (- 4, 122)

Plug the extreme point

x = 1

into

5 x^{2} - 10 x + 2 \Rightarrow y = - 3

Minimum (1, - 3)

Plug the extreme point

x = 2

into

5 x^{2} - 10 x + 2 \Rightarrow y = 2

Maximum (2, 2)

Maximum (- 4, 122), Minimum (1, - 3), Maximum (2, 2)

f (x) = x + sin (x), - \frac{π}{2} \leq x \leq \frac{π}{2}

f (x, y) = 8 x^{2} + 7 y^{2}

x x + 7

f (y) = x y

f (x) = - x^{2} + 120 x - 3200

What is the extreme f(x)=5x^2-10x+2,-4<= x<= 2 ?
The extreme f(x)=5x^2-10x+2,-4<= x<= 2 is Maximum(-4,122),Minimum(1,-3),Maximum(2,2)