Question

Please help me solve this​

Answer 1

a) Function? No

b) Domain:
`-4\le x\le 2`

c) Range:
`-3\le y\le 3`

Explanation:

a) Function? No

We want to determine whether the graph of the relation is a function or not.

When we draw a straight line at x=-1, it will intersect the graph at several points, therefore the graph fails the vertical line test and hence it is not a function.

b) The domain refers to all x-values for which the function is defined.

From the graph the domain is
`-4\le x\le 2` because the ends of the graph are closed.

c) The range is the set of all y-values for which the graph is defined.

From the graph the range is
`-3\le y\le 3`