

Asymptote Review
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Cat Harpham
Used 79+ times
FREE Resource
12 Slides • 4 Questions
1
Asymptote Review

2
Degree of a function
highest exponent
3
Leading Coefficient
number in front of the highest exponent
4
Rational functions
-can have horizontal, oblique, and vertical asymptotes
5
Vertical Asympotes
the "invisible" vertical lines that a function can NEVER cross
Vertical Asymptotes cut the function into pieces
6
How to find the vertical asymptote when given only a function?
set the denominator equal to 0
solve for x
7
For Example: Find the vertical asymp. from the example shown
set denominator equal to 0: x - 4 = 0
solve for x: x = 4
Thus there is a vertical asymptote at x = 4
8
Fill in the Blanks
Type answer...
9
Factoring the denominator
When I set the denominator equal to 0 I run into a problem
How do I solve when it is x squared?
FACTOR! x (x - 3)
then set each factor equal to 0: x = 0 and x = 3
10
Fill in the Blanks
Type answer...
11
Horizontal Asymptotes
Invisible horizontal lines that a function can SOMETIMES cross
Horizontal asymptotes force the function to end a certain way
12
How to find the horizontal asymptote when given only a function?
There are 3 rules when finding horizontal asymptotes
1. If the degree of the numerator is greater than the degree of the denominator; then there are NO HORIZONTAL ASYMPTOTES
2. If the degree of the numerator is less than the degree of the denominator; then the horizontal asymptote MUST EXIST AT Y = 0
3. If the degree of the numerator is equal to the degree of the denominator; then the horizontal asymptote is the ratio of the leading coefficients
13
Ex. 2 Find the Horizontal Asymptotes
The degree of the numerator is 0
The degree of the denominator is 2
The den > num: therefore there is a horizontal asymptote at y = 0
14
Ex. 3 Find the Horizontal asymptote
the degree of the numerator is 1
the degree of the denominator is 1
Since the degrees are equal the horizontal asymptote is at y = 1/2
15
Multiple Choice
Find the horizontal asymptotes:
f(x)=−4x−16x−4y=−4
y=4
y =4−1
y =41
16
Multiple Choice
Find the horizontal asymptotes
f(x)=3x2−6x=9x3−9xy=0
y=3
y=−3
DNE
Asymptote Review

Show answer
Auto Play
Slide 1 / 16
SLIDE
Similar Resources on Wayground
10 questions
Penjumlahan dan Pengurangan Aljabar
Presentation
•
12th Grade - University
12 questions
Solving Logarithmic Equations
Presentation
•
9th - 12th Grade
10 questions
Graphing Linear Systems
Presentation
•
9th - 12th Grade
11 questions
Ch. 3 Justification & Similarity Review
Presentation
•
9th - 12th Grade
11 questions
Logarithms to Exponential
Presentation
•
10th - 12th Grade
14 questions
Alg. 1 6-3 Part 1
Presentation
•
9th - 12th Grade
12 questions
Asymptotes
Presentation
•
9th - 12th Grade
12 questions
Trigonometric Ratios
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