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# Worksheet: Graphing Piecewise Functions

Q1:

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

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• B
• C
• D

Q2:

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

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• B
• C
• D

Q3:

Find the range of the function.

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• D
• E

Q4:

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

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• D
• E

Q5:

Find the domain of the real function

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• D

Q6:

Find the domain of the real function

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• D

Q7:

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

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• B
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• E

Q8:

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

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• B
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• D
• E

Q9:

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

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• B
• C
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• E

Q10:

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

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• B
• C
• D
• E

Q11:

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 are numbers that you should find.

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• E

Q12:

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

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• C
• D
• E

Q13:

The graph in figure (i) is of , which could also be written as follows

Find the values of and that would make graph (ii) that of .

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Q14:

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

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• D
• E

Q15:

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

• A
• B
• C
• D

Q16:

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

• A
• B
• C
• D
• E

Q17:

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

• A
• B
• C
• D