Question

A strictly increasing function defined on [ a, b ] will have its global minimum at x =a.

• A. True
• B. Flase

Answer 1

The correct option is A

True

We know that strictly increasing function always increases. Let's look at the graph -

It is clear from the graph that it’ll have the minimum value at the point where it is starting from. In the interval of [a,b] it’ll have the minimum value at x = a. And the point which has lowest value in the interval is called as global minimum. So x = a will be the global minimum.