Question

The function f(x) = -√x is shown on the graph.21--7-6-5-4-3-2-1₁ 14 5 6 7 x-2-34P6-543Lup up-6-N3Which statement is correct?O The domain of the function is all real numbers lessthan or equal to -1.O The range of the function is all real numbers greaterthan or equal to 0.O The range of the function is all real numbers less thanor equal to 0.O The domain of the function is all real numbers lessthan or equal to 0.

Answer 1

The range of the function is all real numbers less than or equal to 0

Step-by-step explanation

We want to identify the statement that is correct about the function.

The domain of a function/graph is the set of all input values of the function i.e. it is the set of all values of x for which the function is valid.

The range of a function/graph is the set of all output values of the function i.e. the set of all values of y for the function.

From the graph, we see that the domain of the graph consists of only numbers greater than 0 and the range of the graph consists of only numbers that are less than or equal to 0.

Therefore, the statement that is correct is the range of the function is all real numbers less than or equal to 0.

The correct option is the third option.