$\"\"$

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Observe the graph:

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a.

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Find the relative maxima and minima occurs at $\"\"$ -coordinate.

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The graph turns at $\"\"$ and $\"\"$ .

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The value of the function is greater than the surrounding points at $\"\"$ and $\"\"$ .

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The graph represents the relative maxima at $\"\"$ -coordinates are $\"\"$ and $\"\"$ .

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The value of the function is less than the surrounding points at $\"\"$ and $\"\"$ .

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The graph reprsents the relative minima are $\"\"$ and $\"\"$ .

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b.

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Find the real zeros.

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The graph crosses the $\"\"$ –axis at $\"\"$ .

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So, the zeroes of the function are $\"\"$ .

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c.

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Find the degree of the function.

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The graph of a polynomial of degree $\"\"$ has at most $\"\"$ turning points.

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That is if the graph of the polynomial has $\"\"$ turning points, then its degree is at least $\"\"$ .

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The graph has $\"\"$ turning points.

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So, the degree of the polynomial should be at least $\"\"$ .

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d.

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Find the domain and range.

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The domain of a polynomial is all real numbers and range is all real numbers.

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$\"\"$

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a.

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The graph represents the relative maxima at $\"\"$ -coordinates are $\"\"$ and $\"\"$ .

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The graph reprsents the relative minima are $\"\"$ and $\"\"$ .

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b. The change in sign indicates that there is a zero between $\"\"$ and $\"\"$ .

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c.

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The degree of the polynomial $\"\"$ .

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d.The domain of a polynomial is all real numbers and range is all real numbers.