The graph of part of linear function p is shown on the grid.Which inequality best represents the domain of the part shown?

The graph of part of linear function p is shown on the grid. Which inequality best represents the domain of the part shown?


[tex]The graph of part of linear function p is shown on the grid. Which inequality best represents the[/tex]

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  1. A

    Step-by-step 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:

    [tex]-7\leq x[/tex]

    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).

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