

POLYNOMIAL FUNCTIONS (REVIEW)
Presentation
•
Mathematics
•
10th - 12th Grade
•
Medium
Standards-aligned
Allan Lansang
Used 216+ times
FREE Resource
10 Slides • 9 Questions
1
POLYNOMIAL FUNCTIONS (REVIEW)
To be done before taking the QUIZ!

2
LOCAL MINIMUM AND MAXIMUM
These are the turning points of the graph. Local Maximum if it is opening downward and local minimum if opening upward. These local min and max are also called TURNING POINTS. The degree of the polynomial minus one tells you the number of turning points. Example: If the degree of the polynomial is 5, then the graph have at most 5 turning points.
We can have the coordinates of these local max and min using DESMOS calculator or TI 84.
3
Multiple Choice
How many turning points are there in the function:
f(x) = 2x4−3x4
3
2
1
4
Degree, Leading Term and Leading Coefficient
The degree of a polynomial is the highest power of the said polynomial. If the powers are not arranged, look for the highest exponent.
Leading term is the term having the highest exponent.
Leading Coefficient is the constant (number) in the leading term.
5
Example 1: f(x) = 3x6− 2x5−x4 +2x −3
Example 2: f(x) = 6x2−3x5+2x −1
6
Multiple Choice
What is the degree of the polynomial?
f(x) = 2x4−3x2−2x −4?4
3
2
1
7
Multiple Choice
What is the leading term of the polynomial?
f(x) = 3x3−6x5−2x2−5 ?3x3
−6x5
−2x2
-5
8
Even and Odd Degree Polynomials
EVEN DEGREE ---Both arrows are in the same direction. They point up if the leading coefficient is positive and down id the leading coefficient is negative.
ODD DEGREE--- Arrows are having opposite direction. One is pointing up and one is pointing down. The lead coefficient is positive if the graph is going up if you trace them from left to right.
9
Multiple Select
Check all the even degree polynomials:
10
END BEHAVIOR
Watch the video to review.
11
Multiple Choice
What of the following is a correct end behavior?
as x ⟶∞, f(x)⟶−∞
12
Multiple Choice
What of the following is a correct end behavior?
as x ⟶−∞, f(x)⟶−∞
13
DOMAIN AND RANGE
ODD DEGREE POLYNOMIALS
14
Multiple Choice
What is the domain and range of the polynomial?
f(x) = 3x7 − 2x4 − 3x +1D(−∞, ∞) R(1, ∞)
D(−∞, ∞) R(2, ∞)
D(1, ∞) R(−∞, ∞)
D(−∞, ∞) R(−∞, ∞)
15
DOMAIN AND RANGE
EVEN DEGREE POLYNOMIALS
16
Multiple Choice
What is the domain of the graph?
(−∞, ∞)
(∞, 1)
(1, ∞)
Cannot be determined.
17
Multiple Choice
What is the range of the function?
(−∞, ∞)
(−1, ∞)
(−∞, −1)
(∞, −1)
18
INCREASING AND DEACREASING INTERVALS
19
MULTIPLICITY OF ZEROS
POLYNOMIAL FUNCTIONS (REVIEW)
To be done before taking the QUIZ!

Show answer
Auto Play
Slide 1 / 19
SLIDE
Similar Resources on Wayground
15 questions
End Behavior
Presentation
•
10th - 12th Grade
15 questions
Finding Zeros of a Function Lesson
Presentation
•
9th - 12th Grade
13 questions
Writing Linear Functions
Presentation
•
9th - 12th Grade
15 questions
Completing the Square
Presentation
•
9th - 12th Grade
13 questions
Solving Logarithmic Equations
Presentation
•
9th - 12th Grade
13 questions
Solving Systems w/Matrices
Presentation
•
9th - 12th Grade
13 questions
Using the Unit Circle
Presentation
•
9th - 12th Grade
15 questions
3.5 - Completing the Square
Presentation
•
9th - 12th Grade
Popular Resources on Wayground
24 questions
PBIS-HGMS Day 10
Quiz
•
6th - 8th Grade
10 questions
HCS SCI 03 Summer School Review 3
Quiz
•
3rd Grade
11 questions
Home Scope
Quiz
•
7th - 8th Grade
15 questions
HCS SCI 05 Summer School Assessment 3 Review
Quiz
•
5th Grade
35 questions
Lufkin Road Middle School Student Handbook & Policies Assessment
Quiz
•
7th Grade
18 questions
Geo 11.3 Area of Circles and Sectors
Quiz
•
9th - 11th Grade