# 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.

Q1:

Determine the domain of the function represented by the given graph. • A
• B
• C
• D

Q2:

Determine the domain of the function represented by the given graph. • A
• B
• C
• D

Q3:

Find the range of the function. • A
• B
• C
• D
• E

Q4:

Determine the range of the function represented by the following graph. • A
• B
• C
• D
• E

Q5:

Give the piecewise definition of the function whose graph is shown. • A
• B
• C
• D
• E

Q6:

Give the piecewise definition of the function whose graph is shown. • A
• B
• C
• D
• E

Q7:

Give the piecewise definition of the function whose graph is shown. • A
• B
• C
• D
• E

Q8:

Give the piecewise definition of the function whose graph is shown. • A
• B
• C
• D
• E

Q9:

Give the piecewise definition of the function whose graph is shown. • A
• B
• C
• D
• E

Q10:

Write an equation for each part of the domains and of the piecewise-defined function shown in the graph. • A
• B
• C
• D
• E

Q11:

Write an equation for each part of the domains , , , and of the piecewise-defined function shown in the graph. • A
• B
• C
• D

Q12: Which of the following is the function whose graph is shown?

• A
• B
• C
• D
• E

Q13:

Determine the domain of the function represented by the given graph. • A
• B
• C
• D

Q14:

What kind of function is depicted in the graph? • Aan even function
• Ba logarithmic function
• Ca piecewise function
• Da polynomial function

Q15:

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

• A
• B
• C
• D
• E

Q16:

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

• A
• B
• C
• D
• E

Q17:

Find the range of the function.

• A
• B
• C
• D
• E

Q18:

Which of the following graphs represents the function

• A • B • C • D • E Q19:

Consider the function graph shown.

Find the range of the function.

• A
• B
• C
• D
• E

Find the domain of the function.

• A
• B
• C
• D
• 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