Math 30-2
Unit 5: Polynomial Functions
Assessment for Learning Questions
Unit 5 Lesson 1: Exploring the Graphs of Polynomial Functions -- (It is extremely
important that you read the notes in lesson 1 to review concepts needed to work
through these investigations)
1. Investigating the Graphs of Constant Functions
Use technology to graph the constant functions below. Determine the following
characteristics for each function and complete the chart. From the answers in the chart,
fill in the blanks to summarize your findings.
Function f(x) = 3 f(x) = 0 f(x) = -4
Graph of Function
Number of
x-intercepts
y-intercept
End Behavior
Domain
Range
Number of Turning
Points
Notes:
• Constant functions have ______ x-intercepts. There is one case where every point
is on the x-axis. This happens at ______________________.
• Constant functions have ______ y-intercepts.
• The End Behavior of Constant functions can be described as
• ________________________________________________________.
• Domain: _________________. Range: _________________.
• Number of Turning Points ______________.
2. Investigating the Graphs of Linear Functions
Use technology to graph the linear functions below. Determine the following
characteristics for each function and complete the chart. From the answers in the chart,
fill in the blanks to summarize your findings.
Function f(x) = 3x + 1 f(x) = -2x + 3 f(x) = 1/2x - 4
Graph of Function
Number of
x-intercepts
y-intercept
End Behavior
Domain
Range
Number of Turning
Points
Notes:
• Linear functions have ______ x-intercepts.
• Linear functions have ______ y-intercepts.
• The ...
