Extreme Values

The function does not take on either a maximum or a minimum on the interval even though the function is continuous on this interval. Does this contradict the Extreme Value Theorem for continuous functions? Why?

Step 1 of 3:

The objective of this question we have to check whether this contradicts the Extreme Value Theorem for continuous functions or not.

Step 2 of 3:

In this inquiry given that the function does not take on either a maximum or a minimum on the interval so, we can say that the function has neither a local maximum or a local minimum at