# Worksheet: Graphs of Polynomial Functions

In this worksheet, we will practice investigating the graph and end behavior of a polynomial function and identifying its equation from its graph and vice versa.

**Q3: **

Which of the following is the graph of ?

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**Q4: **

Which of the following is the graph of ?

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**Q6: **

Which of the following is the graph of ?

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**Q8: **

Which of the following is the graph of ?

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**Q9: **

The given graph represents a polynomial function.

Which of the following could be the expression ?

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**Q10: **

Which of the following is the graph of ?

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**Q11: **

Which of the following is the graph of ?

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**Q12: **

Which of the following is the graph of ?

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**Q13: **

Which of the following is the graph of ?

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**Q14: **

Which of the following is the graph of ?

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**Q15: **

Which of the following is the graph of ?

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**Q17: **

Solve by factoring, and hence determine which of the following figures would be a sketch of .

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**Q18: **

In (a), the graphs of , , and their product are represented. What is the function if (b) is the graph ?

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**Q19: **

Which of the following is the graph of ?

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**Q20: **

Which of the following is the graph of ?

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**Q21: **

Which of the following is the graph of ?

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**Q22: **

Solve by factoring, and hence determine which of the following figures would be a sketch of .

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**Q23: **

The figure shows the graph of .

Determine the quadratic function whose graph is asymptotic to the above.

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**Q25: **

Which of the following functions is graphed in the given figure?

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