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The table shows the heights of a football at various times after a punt.
Describe the pattern in the table. (See Example 1 and Example 2.)
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Use a spreadsheet to analyze the data.
The first differences are not equal, so the pattern is not linear.
The consecutive ratios are not equal, so the pattern is not exponential.
The second differences are equal. So, the pattern is quadratic.
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The table shows the distances gained by a running back after various numbers of rushing attempts.
Describe the pattern in the table. (See Example 1 and Example 2.)
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The table shows the heights of a football at various times after a field goal attempt.
Describe the pattern in the table. (See Example 1 and Example 2.)
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Use a spreadsheet to analyze the data.
The first differences are not equal, so the pattern is not linear.
The consecutive ratios are not equal, so the pattern is not exponential.
The second differences are equal. So, the pattern is quadratic.
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In Exercise 1, extend the pattern to find the height of the football after 4 seconds. (See Example 1.)
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The table shows the heights of a football at various times after a quarterback passes it to a receiver. Use a spreadsheet to graph the data. Describe the graph. (See Example 2.)
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Use a spreadsheet to analyze and graph the data.
The first differences are not equal, so the pattern is not linear.
The consecutive ratios are not equal, so the pattern is not exponential.
The second differences are equal. So, the pattern is quadratic.
The graph is a U-shaped curve that curves downward. This curve is parabolic.
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Use the graph in Exercise 5 to determine how long the height of the football increases.
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