Question

The graph of part of linear function p is shown on the grid.

Which inequality best represents the domain of the part shown?


−7≤x<2

−7
−5≤p(x)<3

−5

Answer 1

A

Explanation:

The domain of a function is the span of x-values covered by the graph.

From the graph, we can see that it stretches from x=-7 to x=2.

However, note that at x=-7, the dot is closed (shaded in). In other words, x=-7 is in our domain.

On the other hand, at x=2, the dot is not shaded. So, x=2 is not included in our domain.

Therefore, our domain all are numbers between -7 and 2 including -7 (and not including 2).

As a compound inequality, this is:

`-7\leq x<2`

So, our answer is A.

Also note that we use x instead of p(x) because the domain relates to the x-variable. If we were to instead find the range, then we would use p(x).