
7.2 Day 0
Presentation
•
Mathematics
•
11th - 12th Grade
•
Medium
Standards-aligned
Summer Swetlic
Used 1+ times
FREE Resource
5 Slides • 6 Questions
1
We're skipping 7.1
Ms. Swetlic Algebra 2 Essentials
2
...all about RATIONAL FUNCTIONS
Rational functions are equations that
can be expressed as one polynomial
divided by another polynomial.
Here are a few examples
of what they look like -->
3
They have a vertical asymptote (blue dotted line shown)
AND a horizontal asymptote (red dotted line shown).
The graph of a rational function is called a HYPERBOLA.
4
Multiple Choice
Which graph below is a hyperbola?
5
Multiple Choice
Which statement is true?
Hyperbolas have a vertical and a horizontal asymptote.
Hyperbolas have vertical asymptotes only.
Hyperbolas have horizontal asymptotes only.
Hyperbolas do not have any asymptotes.
6
This is the general form of a rational equation.
Maybe write this down to help with the next couple slides :)
The "k" value tells you the horizontal asymptote.
y = k
The "h" value tells you the vertical asymptote.
x = h
7
Look carefully at this example.
The vertical asymptote is
x = 2
(opposite of the -2 you see in the equation!)
The horizontal asymptote is y = 4
8
Multiple Choice
What are the equations of the horizontal and vertical asymptotes?
f(x)=x−31+5
Horizontal: y = -5
Vertical: x = -3
Horizontal: y = 5
Vertical: x = -3
Horizontal: y = 5
Vertical: x = 3
Horizontal: y = -5
Vertical: x = 3
9
Fill in the Blanks
What is the equation of the HORIZONTAL asymptote for this equation? (k)
f(x)=x+21+6
Type answer...
10
Fill in the Blanks
What is the equation of the VERTICAL asymptote for this equation? (h)
f(x)=x+21+6
Type answer...
11
Poll
Good work! What do you think so far about rational functions?
We're skipping 7.1
Ms. Swetlic Algebra 2 Essentials
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