Question

Select all input values for which g(x)=8

choose all that apply
a)x=-4
b)x=6
c)x=9
d) none of the above

picture of graph:
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Answer 1

a. x = -4

c. x = 9

Explanation:

Values of g(x), output values, are plotted on the y-axis, while the corresponding x values, input, of the function are plotted on the x-axis.

We are to determine all possible input values (x-values) that will give us an output value, g(x) = 8.

On the graph, look at the point where y = 8, on the y-axis. When y = 8, we have two possible values of x. They are -4, and 9.

Thus:

g(-4) = 8

g(9) = 8.

The possible input values for which g(x) = 8, are x = -4, and x = 9.