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Use the graph to identify zeros and multiplicity.

Use the graph to identify zeros and multiplicity.-example-1

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Both zeros at x = -2 and x = 2 have a multiplicity of 1, indicating linear factors, and the graph touches the x-axis at these points without reversing direction.

The graph displays a function that intersects the x-axis at two distinct points, specifically at x = -2 and x = 2. The fact that the graph crosses the x-axis at these points implies that these are zeros of the function.

Examining the graph, we observe that at both x = -2 and x = 2, the function touches the x-axis and then changes direction. This behavior indicates that the zeros have an odd multiplicity. The multiplicity of a zero is the number of times the graph intersects the x-axis at that particular point.

Therefore, for the given graph:

1. The zero at x = -2 has a multiplicity of 1.

2. Similarly, the zero at x = 2 also has a multiplicity of 1.

The zeros and their multiplicities are as follows:

x = -2 with a multiplicity of 1.

x = 2 with a multiplicity of 1.

This means that the function has a linear factor at each zero, and the graph touches the x-axis at these points without turning back.

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