Question

Which statement is true about the function f(x)= - square root of x?

Answer 1

it is D on Edge 2020

Explanation:

i just took final exam

Answer 2

It has the same range but not the same domain as the function
`f(x) = - √(-x)`.

Explanation:

Recall the domain of the function is all x values which input into the function and give an output. The outputs or y values are called the range. To find the domain and range, graph the function and look at where it is on the coordinate plane.

`f(x) = √(x)` starts at (0,0) and curves upward and towards the right. Its domain is
`x\geq 0` and its range is
`y\geq 0`.

`f(x) = - √(x)` starts at (0,0) and curves downward to the right. Its domain is
`x\geq 0` still but its range is negative numbers or
`y\leq 0`.

`f(x) = - √(-x)` starts at (0,0) and curves downward to the left. Its domain is negative x values or
`x\leq 0` and its range is negative values or
`y\leq 0`.

This means the two functions have the same range but different domains.