

GRAPHING POLYNOMIALS REVIEW
Presentation
•
Mathematics
•
9th - 11th Grade
•
Medium
Standards-aligned
Allan Lansang
Used 4+ times
FREE Resource
8 Slides • 13 Questions
1
GRAPHING POLYNOMIALS REVIEW
2
DOMAIN AND RANGE OF ODD DEFREE POLYNOMIALS
Polynomials are ODD degree if their arrows are pointing in different direction.
The polynomial at the right is ODD. Notice that one arrow is going down and the other is going up.
3
Multiple Select
Which of the following polynomials is / are ODD? Check all that applies.
4
ODD DEGREE POLYNOMIALS
DOMAIN (−∞, ∞)
RANGE (−∞, ∞)
5
Multiple Choice
What is the Domain and Range of the polynomial function?
f(x) = 3x7−2x3−x−4Domain (−∞, ∞)
Domain (∞, −∞)
Domain(1, ∞)
Domain(−∞, 1)
6
Multiple Choice
What is the range of the function?
f(x) = x3−2x −1Range (∞, ∞)
Range (−∞, −∞)
Range (−∞, ∞)
Range (0, −∞)
7
EVEN DEGREE POLYNOMIALS
EVEN DEGREE polynomials have both arrows pointing in the same direction.
See example at the right. The polynomial is even as both arrows are pointing into the same direction.
8
Multiple Select
Which of the following graphs are graphs of EVEN degree polynomials. Check all that applies.
9
DOMAIN AND RANGE OF EVEN DEGREE POLYNOMIALS
DOMAIN will always be
(−∞, ∞)Range will be:
if opening up (lowest y value, ∞)
if opening down (−∞, highest y value)
Look at example at the right. The domain is (−∞, ∞) while our range is lowest y value to infinity.(0, ∞)
10
Multiple Choice
What is the domain of the function?
(−∞, ∞)
(∞, −∞)
(−∞, 1.5)
(−∞, 1.688)
11
Multiple Choice
What is the range of the function?
(−∞, ∞)
(∞, −∞)
(−∞, 1.5)
(−∞, 1.688)
12
INCREASING AND DECREASING INTERVALS
We will be using the x values in determining the increasing and decreasing intervals.
Always read the graph from left to right.
Increasing intervals: (−∞, −0.577) ∪(0.577, ∞)
Decreasing interval: (−0.577, 0.577)
13
Multiple Choice
What is the correct increasing interval?
(−1.185, 0)
(−1.333, 0)
(−1.185, ∞)
(−1.333, ∞)
14
Multiple Choice
What is the correct decreasing interval?
(−∞, −1.333) ∪(0, ∞)
(−1.333, ∞)∪(0, ∞)
(−1.185, ∞) ∪(−∞, 0)
(−1.333, ∞)
15
FINDING ZEROS FROM GRAPHS
Remember CROSS (1 zero), BOUNCE (2 zeros) and WIGGLE (3 ZEROS)
The graph bounces at x = 0, Crosses at x= 1 and wiggles at x = 3
The zeros therefore are : 0, 0, 1, 3, 3 and 3
16
Multiple Choice
What are the zeros of the graphed polynomial function?
0 and 3
0, 0 and 3
0, 0, 3 and 3
0, 0, 3, 3 and 3
17
Multiple Choice
What are the zeros of the graphed polynomial?
-1, 0 and 2
-1, 0, 0 and 2
-1, 0, 0, 0 and 2
-1 and 2
18
Building the function from graph.
Follow the steps in building the function from graph.
19
Multiple Choice
What is the correct value of the lead coefficient?
1
-2
1/2
-1/2
20
Multiple Choice
What is the correct leading coefficient?
1
-2
2
-2
21
Multiple Choice
What is the correct function graphed?
f(x) = 3(x−1)2(x−3)
f(x) = 3(x−1)(x−3)
f(x) =(x−1)2(x−3)
f(x) = 2(x−1)2(x−3)
GRAPHING POLYNOMIALS REVIEW
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