Question

which statement is true about the function f(x)=√x? the domain of the graph is all real numbers. the range of thebgraph 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

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

Explanation:

Consider the provided function
`f(x)=√(x)`.

Domain of the function is the set of all possible x values which a function can take.

Range of the function is the set of all output values or the values produced by the function.

Now, consider the provided function.

The value of x can not be a negative number because the square root of negative number is not a real number.

Thus, the domain of the function must be zero or greater than zero.

The graph of the function is shown in figure 1.

From the graph it can be observed that the values produced by that function is all real numbers greater than or equal to 0.

Therefore, the required answer is: The range of the graph is all real numbers greater than or equal to 0.

Answer 2

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

Explanation:

we have

`f(x)=√(x)`

we know that

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

All real numbers greater than or equal to zero

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

All real numbers greater than or equal to zero

see the attached figure to better understand the problem