# Lesson Worksheet: Graphs of Piecewise Functions Mathematics

In this worksheet, we will practice graphing and analyzing a piecewise-defined function and studying its different characteristics.

**Q2: **

Determine the domain of the function represented by the given graph.

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- B
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- D

**Q4: **

Determine the range of the function represented by the following graph.

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- E

**Q5: **

Give the piecewise definition of the function whose graph is shown.

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**Q7: **

Give the piecewise definition of the function whose graph is shown.

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- E

**Q8: **

Give the piecewise definition of the function whose graph is shown.

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- E

**Q9: **

Give the piecewise definition of the function whose graph is shown.

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**Q10: **

Write an equation for each part of the domains and of the piecewise-defined function shown in the graph.

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**Q11: **

Write an equation for each part of the domains , , , and of the piecewise-defined function shown in the graph.

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- D

**Q12: **

Which of the following is the function whose graph is shown?

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**Q15: **

Determine the range of the function represented by the given graph.

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- D
- E

**Q16: **

Determine the range of the function represented by the given graph.

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- B
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- D
- E

**Q17: **

Find the range of the function.

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- E

**Q18: **

Which of the following graphs represents the function

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**Q19: **

Consider the function graph shown.

Find the range of the function.

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- E

Find the domain of the function.

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- E

**Q20: **

Which of the following is the piecewise definition of the function whose graph is shown?

- A
- B
- C
- D
- E

**Q21: **

Determine the domain of the function represented by the given graph.

- A
- B
- C
- D
- E

**Q22: **

Determine the domain of the function represented by the given graph.

- A
- B
- C
- D
- E

**Q23: **

Which of the following is the piecewise definition of the function whose graph is shown?

- A
- B
- C
- D
- E

**Q24: **

Determine the domain of the function represented by the graph shown.

- A
- B
- C
- D
- E

**Q25: **

Determine the range of the function represented by the given graph.

- A
- B
- C
- D
- E