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Answer:
The graph of crosses the x-axis at (1,0) and (-4, 0). It touches the x-axis at (-5, 0).
Step-by-step explanation:
g(x):
.
There are three factors:
- (x - 1), where k = 1,
- (x - (-4)), where k = -4, and
- (x - (-5)), where k = -5.
The first and second factors are raised to odd powers. The graph will cross the x-axis at all these two points:
- (1, 0) as a result of the factor (x - 1),
- (-4, 0) as a result of the factor (x - (-4)).
The third factor is raised to an even power. The graph will touch the x-axis at that point.
- (-5, 0) as a result of the factor (x - (-5)).