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

Answer:

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

Step-by-step explanation:

Step 1

The first step is to define the range and domain for the functions $f(x)=-\sqrt{x}$ and $f(x)=\sqrt{x}.$

The range(output set) for the function $f(x)=\sqrt{x}$ is the set of all positive numbers including zero.

The range(output set) for the function $f(x)=-\sqrt{x}$ is the set of all negative numbers including zero.

The domain(input set) for the function $f(x)=\sqrt{x}$ is the set of all positive numbers including zero.

The domain(input set) for the function $f(x)=-\sqrt{x}$ 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.

Answer 2

Answer:

It's C.

Step-by-step explanation:

No Way.