Question

Which of the following are true statements?

Answer 1

A, D

Explanation:

They are true statements.

Answer 2

Answer: The answers are (A) and (C).

Step-by-step explanation: We are given four statements related to the graphs of the functions
`f(x)=\sqrt x~~\textup{and}~~f(x)=2\sqrt x`, out of which we are to select all the correct ones.

In the attached figure, the graphs of both the functions are shown.

We can see that the domain and range of the functions are same and are equal to [0, ∞) and [0, ∞) respectively.

Also the graph of
`f(x)=2\sqrt x` looks like the graph of
`f(x)=\sqrt x` but stretched vertically by a factor of 2.

Thus, the correct statements are (A) and (C).