Question

Which statement is true about the function f(x)=-√x?

A. It has the same domain and range as the function f(x)=√x
B. It has the same range but not the same domain as the function f(x)=√x
C. It has the same domain and range as the function f(x)=-√ -x
D. It has the same range but not the same domain as the function f(x)=-√ -x

Answer 1

It's C.

Explanation:

No Way.

Answer 2

It has the same domain as the function f(x)=√x

Explanation:

Step 1

The first step is to define the range and domain for the functions
`f(x)=-√(x)` and
`f(x)=√(x).`

The range(output set) for the function
`f(x)=√(x)` is the set of all positive numbers including zero.

The range(output set) for the function
`f(x)=-√(x)` is the set of all negative numbers including zero.

The domain(input set) for the function
`f(x)=√(x)` is the set of all positive numbers including zero.

The domain(input set) for the function
`f(x)=-√(x)` is the set of all positive numbers including zero.

Step 2

In this step we make decide which of the statements A through D is correct. From the statements in step one, we know that the two functions have the same domain. The correct answer is It has the same domain as the function f(x)=√x.

Non of the statements listed are true.