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9.1 Exploring Combinations of Functions
Transcript of 9.1 Exploring Combinations of Functions
Question 1: What operation must be used to combine the following functions in order to get a y-intercept of 22?
Predict which equations match with which graphs.
V.A. at x=0
There are several different ways to combine functions including:
composition (f g)(x)
It is possible to combine two or more simple functions into one complex function.
The characteristics of the individual functions that are combined will effect the properties and characteristics of the function that is created.
Typical questions involve:
determining the parent functions from the graph of combined functions
determining the operation that must be used to combine two functions and obtain another given function.
Question 3: How would you combine the following functions in order to get a function of the order 5?
f(x)= x^3+2 g(x)=x^2+3x+2
Question 2: What operation could be used to combine the followng equations in order to get a hole at x=-5?
Liana, Rana, Sabrina & Rhea
NOW FOR THE ACTIVITY...
Get into groups of 3 or 4!
How must the following equations be combined in order to produce a function where x cannot equal -2?