Question

Consider the graph of the function f(x) shown below:

Statement 1: The function f(x) is increasing in `(1/2, 2)`.

Statement 2: The function f(x) is strictly increasing in `(1/2, 1)`.

Which of the following is correct with respect to the above statements?

Options

• Statement 1 is true and Statement 2 is false.

• Statement 2 is true and Statement 1 is false.

• Both the statements are true.

• Both the statements are false.

Answer 1

Both the statements are true.

Explanation:

In given graph f(x) is increasing in `(1/2, 2)` and strictly increasing in `(1/2, 1)`.

Hence, statements (1) and (2) are true.