Question

Which statement is true about the function f(x) = negative StartRoot x EndRoot?

It has the same domain and range as the function f(x) = StartRoot x EndRoot.
It has the same range but not the same domain as the function f(x) = StartRoot x EndRoot.
It has the same domain and range as the function f(x) = negative StartRoot negative x EndRoot.
It has the same range but not the same domain as the function f(x) = negative StartRoot negative x EndRoot.

Answer 1

It has the same domain but not the same range as the function $f(x)=\sqrt{x}$

Explanation:

The function:

$g(x)=-\sqrt{x}$

is a reflection over the x-axis of the function:

$f(x)=\sqrt{x}$

Because every point (x, y) on f(x) is mapped onto (x, -y) on g(x), but the domain of those functions are the same as you can see in the figure below.

$f(x) \ is \ the \ blue \ graph \\ \\ g(x) \ is \ the \ red \ graph$

However, you can see that:

• The range of $f$ is $[0,\infty)$

• The range of $g$ is $(-\infty,0]$

So they have different range.

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Answer 2

Answer:

A on edge

Step-by-step explanation: