What is the extreme f(x)= x/(x-2),3<= x<= 4 ?

The extreme f(x)= x/(x-2),3<= x<= 4 is Maximum(3,3),Minimum(4,2)

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extreme f(x)= x/(x-2),3<= x<= 4

extreme

Maximum (3, 3), Minimum (4, 2)

Solution steps

Find the critical points:

x = 3, x = 4

Domain of

\frac{x}{x - 2}, 3 \leq x \leq 4 : 3 \leq x \leq 4

Find intervals:

Decreasing

: 3 < x < 4

Plug the extreme point

x = 3

into

\frac{x}{x - 2} \Rightarrow y = 3

Maximum (3, 3)

Plug the extreme point

x = 4

into

\frac{x}{x - 2} \Rightarrow y = 2

Minimum (4, 2)

Maximum (3, 3), Minimum (4, 2)

What is the extreme f(x)= x/(x-2),3<= x<= 4 ?
The extreme f(x)= x/(x-2),3<= x<= 4 is Maximum(3,3),Minimum(4,2)