# Worksheet: Graphs of Piecewise Functions

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:

Find the domain of the real function

• A
• B
• C
• D

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:

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. • A
• B
• C
• D
• E

Q11:

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

Q12:

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

Q13:

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

Q14: Which of the following is the function whose graph is shown?

• A
• B
• C
• D
• E

Q15:

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

Q16:

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