Question

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

The domain of the graph is all real numbers.
The range of the graph is all real numbers.
The domain of the graph is all real numbers less than or equal to 0.
The range of the graph is all real numbers greater than or equal to 0.

Answer 1

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Explanation:

Answer 2

The range of the graph is all real numbers greater than or equal to 0.

Explanation:

we have

`y=√(x)`

using a graphing tool

The graph in the attached figure

step 1

Find the domain

we know that the radicand of the function must be greater than or equal to zero

so

The domain is the interval ------> [0,∞)

`x\geq0`

All real numbers greater than or equal to zero

step 2

Find the range

The range is the interval -----> [0,∞)

`y\geq0`

All real numbers greater than or equal to zero