Question

The graph to the right is a complete graph, that is, it is continuous and displays the function's end behavior. All zeros are integers. Answer the following questions. [-6, 6, 1] by [-50, 10, 10] (a) List the zeros whose multiplicity is even. Select the correct choice below and fill in any answer boxes within your choice. (Type an integers or a simplified fractions. Use a comma to separate answers as needed.) (b). There are no such zeros.

Answer 1

There are no zeros whose multiplicity is even.

Step-by-step explanation:

To determine the zeros whose multiplicity is even, we need to look at the x-intercepts of the graph of the function.

From the given information, [-6, 6, 1] by [-50, 10, 10], we can see that the zeros of the function are -6, 6, and 1.

Since none of these zeros appear more than once, there are no zeros whose multiplicity is even.

Answer 2

Zeros with even multiplicity touch or cross the x-axis, while zeros with odd multiplicity only touch the x-axis and turn back. Without additional information, we cannot determine the multiplicity of the zeros within the given intervals.

Step-by-step explanation:

The question asks about the zeros of a function and specifically wants to know which zeros have an even multiplicity. In a polynomial function, the multiplicity of a zero refers to how many times it appears as a factor. For example, if a zero appears twice as a factor, its multiplicity is 2.

Zeros with an even multiplicity will touch or cross the x-axis, while zeros with an odd multiplicity will only touch the x-axis and then turn back. In the given context, we need to find the zeros within the interval [-6, 6, 1] by [-50, 10, 10]. To determine the multiplicity of each zero, we would need additional information beyond the given intervals.

(b) There are no such zeros.