

Review of Graphs of Polynomial Functions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Standards-aligned
Karine Ptak
Used 119+ times
FREE Resource
11 Slides • 7 Questions
1
Review of Graphs of Polynomial Functions
Keep track of your answers so you can provide them when needed

2
Part 1: Review of end behavior and factoring
When in doubt... graph it!
3
You are given the function
f(x)=x3−4x2+3x−12What is the parity of the degree? (odd or even?)
What sign is the lead coefficient? (positive or negative?)
4
Multiple Choice
Given the function
f(x)=x3−4x2+3x−12 What is its end behavior?Left, down; right, down
Left, up; right, up
Left, down; right, up
Left, up; right, down
5
You are given the function
f(x)=x3−4x2+3x−12What is its factored form?
Take time to work on it on your own first.
6
Multiple Choice
Given the function
f(x)=x3−4x2+3x−12 What is its factored form?It cannot be factored
(x2−4)(x+3)
(x2−3)(x+4)
(x2+3)(x−4)
7
Part 2: Review of zeros, multiplicity, and behavior at x-intercepts.
Pay close attention to exponents!
8
You are given the function
f(x)=−x(x+2)(x−5)2What are the zeros?
What is their multiplicity? (odd or even?)
Write it down on your paper first.
9
Multiple Choice
Given the function
f(x)=−x(x+2)(x−5)2 What are the zeros? What is their multiplicity?0, even; -2, odd; 5, odd
-2, odd; 5, even
0, odd; -2, odd; 5, even
0, odd; -2, even; 5, odd
10
You are given the function
f(x)=−x(x+2)(x−5)2Where are the x-intercepts?
What is the behavior of the graph at each x-intercept?
11
Multiple Choice
Given the function
f(x)=−x(x+2)(x−5)2 Where are the x-intercepts? What is the behavior of the graph at each x-intercept?(0,0); (-2,0); (5,0): Cross, bounce, cross
(0,0); (-2,0); (5,0): Bounce, bounce, cross
(0,0); (-2,0); (5,0): Cross, bounce, bounce
(0,0); (-2,0); (5,0): Cross, cross, bounce
12
Check your work!
This is the graph of
f(x)=−x(x+2)(x−5)213
Part 3: Review of relative extrema and domains of increase or decrease
When in doubt... graph it!
14
How many relative extrema does this graph have? (Think: "How many times does it turn?")
This is the graph of
f(x)=−x(x+2)(x−5)215
Multiple Choice
Given the function
f(x)=−x(x+2)(x−5)2 How many relative extrema are there? What type?Three: two relative minimums and one relative maximum
Three: two relative maximums and one relative minimum
Two: one relative maximum and one relative minimum
One: relative minimum
16
What are the domains of increase and decrease, from left to right?
This is the graph of
f(x)=−x(x+2)(x−5)217
Multiple Choice
Given the function
The Domains of increase are (−∞,−1.158] U [2.158, 5]True
False
18
Multiple Choice
Given the function
The Domains of decrease are [−1.158, 2.158] U [5, ∞)True
False
Review of Graphs of Polynomial Functions
Keep track of your answers so you can provide them when needed

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