# Worksheet: Graphs of Piecewise Functions

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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**Q3: **

Find the range of the function.

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**Q4: **

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

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**Q5: **

Find the domain of the real function

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**Q6: **

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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**Q8: **

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

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**Q9: **

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

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**Q10: **

The graph of the function is formed of a ray with slope from the point , a line segment between the points and , and a ray with slope 7 from the point . Write the function in the form , where , , , and are numbers that you should find.

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**Q11: **

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

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**Q12: **

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

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**Q13: **

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

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**Q14: **

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

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**Q16: **

What kind of function is depicted in the graph?

- Aan even function
- Ba logarithmic function
- Ca piecewise function
- Da polynomial function