Question

what is the x - intercept of the graph shown? (a) (-6,0) (b) (-8,0) (c) (6,0)

Explanation:

Step1: Recall x - intercept definition

The x - intercept is the point where the graph crosses the x - axis, and at this point y = 0.

Step2: Identify x - value from graph

Looking at the graph, when y = 0, the x - value is 8. But among the given options, we need to find the correct x - intercept coordinate. Since the x - intercept has the form (x,0), and we see from the graph that the curve touches the x - axis near x = 8. None of the given options (-6,0), (-8,0), (6,0) match the correct x - intercept from the graph shown. However, if we assume there is an error in the options and we go by the principle of x - intercept being (x,0) where x is the value on x - axis when y = 0, and based on the graph, we note the closest correct concept application.

Answer:

None of the above options are correct based on the graph shown. If we assume we must choose from the given options, there is an error in the problem setup as the graph shows x - intercept around x = 8 and none of the options match.