Questions: Analyze the graph to address the following about the polynomial function it represents. a. Is the degree of the polynomial function even or odd? b. Is the leading coefficient positive or negative? c. What is the value of the constant term? d. Identify the real zeros, and state the multiplicity of each. e. Select from the list a possible function that could be represented by this graph.

Analyze the graph to address the following about the polynomial function it represents.
a. Is the degree of the polynomial function even or odd?
b. Is the leading coefficient positive or negative?
c. What is the value of the constant term?
d. Identify the real zeros, and state the multiplicity of each.
e. Select from the list a possible function that could be represented by this graph.
Transcript text: Analyze the graph to address the following about the polynomial function it represents. a. Is the degree of the polynomial function even or odd? b. Is the leading coefficient positive or negative? c. What is the value of the constant term? d. Identify the real zeros, and state the multiplicity of each. e. Select from the list a possible function that could be represented by this graph.
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Solution

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Step 1: Determine if the degree is even or odd

The end behavior of the graph shows the function approaching negative infinity as _x_ approaches negative infinity, and approaching negative infinity as _x_ approaches positive infinity. This indicates the polynomial function has an even degree.

Step 2: Determine the sign of the leading coefficient

Since both ends of the graph point downwards, the leading coefficient is negative.

Step 3: Determine the constant term

The constant term corresponds to the _y_-intercept of the graph. The graph appears to intercept the _y_-axis at $y=0$. Thus, the constant term is $\boxed{0}$.

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