Question

1. Find the domain of the linear graph. *

A.
All real numbers
B.
-5 sxs7
C.
-5 sx<7
D.
-5

Answer 1

D -5 < x
`\leq` 7

Step-by-step

Because we can see the graph has both a start and finish, the domain cannot be all real numbers. The open space around the 5 means that it does not include the 5, while the filled circle means it does include the 7.

Answer 2

C

Explanation:

We know for a fact that x does exist at 7 because it is a closed dot, however the same cannot be said about -5

-5 is a hole or more commonly known as a removable discontiniuty

The defintion is a removable discontinuity is a point on the graph that is undefined or does not fit the rest of the graph

So because of that c is the only option where it looks like so -5<x</7