Question

1. domain:

range:
function?

Explanation:

Step1: Identify the domain

The domain is the set of all x - values. The graph starts at x = - 7 (open - circle) and ends at x = 7 (closed - circle). So the domain is $-7\lt x\leqslant7$.

Step2: Identify the range

The range is the set of all y - values. The graph starts at y = - 2 (closed - circle) and goes up to y = 6 (open - circle). So the range is $-2\leqslant y\lt6$.

Step3: Check if it's a function

Use the vertical - line test. If any vertical line intersects the graph at most once, it is a function. For this graph, any vertical line will intersect the graph at most once. So it is a function.

Answer:

Domain: $-7\lt x\leqslant7$
Range: $-2\leqslant y\lt6$
Function? Yes