the graph of the function $f(x)=\frac{1}{3}sqrt{x}$ is shown. what is the range of the function? all real…

the graph of the function $f(x)=\frac{1}{3}sqrt{x}$ is shown. what is the range of the function? all real numbers all real numbers greater than 0 all real number less than or equal to 0 all real numbers greater than or equal to 0

the graph of the function $f(x)=\frac{1}{3}sqrt{x}$ is shown. what is the range of the function? all real numbers all real numbers greater than 0 all real number less than or equal to 0 all real numbers greater than or equal to 0

Answer

Explanation:

Step1: Recall the property of square - root function

For the square - root function (y = \sqrt{x}), the domain is (x\geq0) and the range is (y\geq0).

Step2: Analyze the function (y=\frac{1}{3}\sqrt{x})

Since (\sqrt{x}\geq0), when we multiply (\sqrt{x}) by a positive constant (\frac{1}{3}), we have (y = \frac{1}{3}\sqrt{x}\geq0).

Answer:

all real numbers greater than or equal to 0