What is the extreme f(x)=-1/x ,-2<= x<=-1 ?

The extreme f(x)=-1/x ,-2<= x<=-1 is Minimum(-2, 1/2),Maximum(-1,1)

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extreme f(x)=-1/x ,-2<= x<=-1

extreme

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

Solution steps

Find the critical points:

x = - 2, x = - 1

Domain of

- \frac{1}{x}, - 2 \leq x \leq - 1 : - 2 \leq x \leq - 1

Find intervals:

Increasing

: - 2 < x < - 1

Plug the extreme point

x = - 2

into

- \frac{1}{x} \Rightarrow y = \frac{1}{2}

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

Plug the extreme point

x = - 1

into

- \frac{1}{x} \Rightarrow y = 1

Maximum (- 1, 1)

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

What is the extreme f(x)=-1/x ,-2<= x<=-1 ?
The extreme f(x)=-1/x ,-2<= x<=-1 is Minimum(-2, 1/2),Maximum(-1,1)