Question

PLEASE HELPPPP

the function f(x)= – is shown on the graph.

Which statement is correct?

A. The range of the graph is all real numbers greater than or equal to 0.
B. The domain of the graph is all real numbers greater than or equal to 0.
C. The range and domain of the graph are the same.
D. The domain of the graph is all real numbers.

Answer 1

The domain:

`x\in(-\infty;\ 0]`

The range:

`y\in(-\infty;\ 0]`

Answer:
C. The range and domain of the graph are the same.

Answer 2

C. the range and domain of the graph are the same.

Explanation:

A. Is not possible. Here's why

Notice that when the range of a function is all real numbers greater than or equal to 0, then the graph would be above the "x" axis and this graph is below the "x" axis.

B. Is not possible. Here's why

The right side of the "x" axis is not part of the graph at all, therefore the domain can't be all real numbers.

C. This is the right answer.

The graph is below the "x" axis and to the left of the "y" axis, therefore both the domain and the range of the graph are
`(-\infty,0]` .

D. Is not possible. Here's why

The right side of the "x" axis is not part of the graph, therefore that can't be the answer.