Question

What is the domain and range of the square root function graphed

Answer 1

The range of the function is the set of values of x for which the function is true.

If you look at the graph, the function grows from minus infinite to x=7, so the domain of the function is all real numbers less than or equal to 7

`\mleft\lbrace x\in\mathfrak{\Re }|x\leq7\mright\rbrace`

The range of the function is all values of y for which the function is real. The function has an endpoint at (7,3) and is above the x-axis which means that the range is defined for positive values of y, starting at the y-coordinate of the endpoint y=3.

So the range of the function is all real numbers greater than or equal to y=3

`\mleft\lbrace y\in\mathfrak{\Re }|y\ge3\mright\rbrace`

The correct option is the second