Question

what is the domain of the graph? is it a function?
○ ℝ (all real number) yes
○ ℝ (all real numbers) no
○ ( x leq 5 ) yes
○ ( x leq 5 ) no

Explanation:

Step1: Identify domain from graph

The graph extends infinitely left and right along the x-axis, so all real numbers are valid inputs.

Step2: Test if it's a function

Use the Vertical Line Test: a vertical line drawn anywhere on the graph intersects the curve at more than one point. This fails the test, so it is not a function.

Answer:

$\mathbb{R}$ (all real numbers) No