466 words - 2 pages

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 End...

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