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WARM UP
Solve for y
1.
2.
3.
ALGEBRA 3
CHAPTER 9: RATIONAL EQUATIONS AND
FUNCTIONSLESSON 2: GRAPHING
SIMPLE RATIONAL FUNCTIONS
VOCAB
Rational Function – is a function in the form • Basically any equation that says y = some fraction
(where x is in the denominator)
Hyperbola – The graph of a rational function (see the
board)
Branches – The 2 symmetrical parts of the graph
Asymptote - a line that the graph approaches as you
move away from the origin
KNOWLEDGE
Equation • Asymptotes @ y = k and x = h• REMEMBER • H moves opposite (left and right)• K moves same up and down• A – positive (1 and 3)• A – negative (2 and 4)
DIRECTIONS
Find your asymptotes• Draw dotted lines on the graph paper
Type the graph in the calculator
Draw it
Find Domain and Range
TODAY
Today we are going to look at the
graph of basic rational functions
Tomorrow we will look at a little
more complex graphs
I DO(GRAPHING BASIC)
Graph the rational function and state the domain and
range
1. 2.
3. 4.
WE DO(GRAPHING BASIC)
Graph the rational function and state the domain and
range
1. 2.
3. 4.
I DO(GRAPHING BASIC)
Graph the rational function and state the domain and
range
1. 2.
3. 4.
REVIEW
Today you learned how
to draw graphs of basic
rational functions
HOMEWORK
WORKSHEET
WARM UP
Graph the equation
1.
2.
3.
ALGEBRA 3
CHAPTER 9: RATIONAL EQUATIONS AND
FUNCTIONSLESSON 2: GRAPHING
SIMPLE RATIONAL FUNCTIONS
TODAY
Today we are going to continue to
look at the graph of basic rational
functions
Tomorrow we will look at a little
more complex graphs
WE DO(GRAPHING BASIC)
Graph the rational function and state the domain and
range
1. 2.
3. 4.
YOU DO(GRAPHING BASIC)
Graph the rational function and state the domain and
range
1. 2.
3. 4.
REVIEW
Today you learned how
to draw graphs of basic
rational functions
TOMORROW
Quiz on 9.1 and 9.2
HOMEWORK
WORKSHEET•9.2 (1, 4, 7 - 9)