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Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
Record the transformations and then graph.
[1]
[2] 2
Graphs of Rational Functions: Find the translations, Vertical and Horizontal Asymptotes, and draw a sketch.
VA: HA: VA: HA:
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
Graphs of Rational Functions: Write the equation of the graph with the same shape as
with asymptotes at:
[1] [2]
f(x) = f(x) =
Graphs of Rational Functions: Find the equation for the function with this graph (the scale is 1):
f(x) =
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
Graphs of Rational Functions: Find the equation for the function with this graph (the scale is 1):
f(x) =
Simplifying Rational Functions:
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
What does this graph look like?= 5
Holes and Asymptotes: Which values of x make a hole, and which values make an asymptote?
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
Holes:
Graphing Rational FunctionsWhat is the equation of this function?
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
Graphing Rational FunctionsWhat is the equation of this function?
Graphing Rational FunctionsWhat is the equation of this function?
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
A quick factoring review...
I can add, subtract, multiply, divide rational expressions.
When you multiply and divide rationalexpressions, factor all the expressions first. This will make it easier to reduce common factors.
Simplify:
I can add, subtract, multiply, divide rational expressions.
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
How do we multiply fractions?
I can add, subtract, multiply, divide rational expressions.
Multiply:
Step 1: Factor both the numerator and denominator
Step 2: Write as one fraction
Step 3: Simplify
I can add, subtract, multiply, divide rational expressions.
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
Multiply:
Step 1: Factor both the numerator and denominator
Step 2: Write as one fraction
Step 3: Simplify
erasable
I can add, subtract, multiply, divide rational expressions.
Multiply:
Step 1: Factor both the numerator and denominator
Step 2: Write as one fraction
Step 3: Simplify
I can add, subtract, multiply, divide rational expressions.
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
Multiply:
Step 1: Factor both the numerator and denominator
Step 2: Write as one fraction
Step 3: Simplify
I can add, subtract, multiply, divide rational expressions.
Multiply:
I can add, subtract, multiply, divide rational expressions.
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
How do we divide fractions?
I can add, subtract, multiply, divide rational expressions.
Divide:
Step 1: Write as multiplication of the reciprocal
Step 2: Multiply
Step 3: Simplify
erasable
I can add, subtract, multiply, divide rational expressions.
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019
OYO~Divide:
Step 2: Multiply
Step 3: Simplify
Step 1: Write as multiplication of the reciprocal
I can add, subtract, multiply, divide rational expressions.
OYO~Divide:
Step 2: Multiply
Step 3: Simplify
Step 1: Write as multiplication of the reciprocal
I can add, subtract, multiply, divide rational expressions.
Unit 15 Intro to Multiplying and Dividing.notebook May 07, 2019