Question

10.
graph of a circle on a coordinate grid with x and y axes
d = ____________________ r = ____________________
function? ___________

Explanation:

Step1: Determine the Domain (D)

To find the domain of the circle, we look at the horizontal extent. From the graph, the circle extends from \( x = -3 \) to \( x = 5 \) (by counting the grid units). So the domain is all real numbers \( x \) such that \( -3 \leq x \leq 5 \).

Step2: Determine the Range (R)

For the range, we look at the vertical extent. The circle extends from \( y = -2 \) to \( y = 3 \) (counting grid units). So the range is all real numbers \( y \) such that \( -2 \leq y \leq 3 \).

Step3: Check if it's a Function

A function must pass the vertical line test: a vertical line should intersect the graph at most once. For a circle, a vertical line will intersect it at two points (except at the leftmost and rightmost points), so it is not a function.

Answer:

\( D = [-3, 5] \), \( R = [-2, 3] \), Function? No