Lesson 1: 5-1 Operations with Functions

What can you say about the sum or difference of two linear functions?
Can the sum or difference of two quadratic functions be a linear functions?
In general, how do you determine the domain of a function?
What is the domain of any polynomial function?
When you divide two functions, how do you determine the domain of the resulting function?

composition of functions

F.BF.1.b Combine standard function types using arithmetic operations

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Addition, subtraction, multiplication, and division can be used to combine functions. Under addition, subtraction, and multiplication of functions, the domain of the resulting function is the intersection of the domains of the original functions. Under division, the domain of the resulting function must be restricted so that the denominator is not equal to zero

The graphs model the income for the Brooks family since 2005, where m(x) represents Mr. Brooks' income and f(x) represents Mrs. Brooks' income. The total household income can be represented by m(x)+f(x)

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Have students work in groups to collect real world data that they can display in a scatter plot. Then ask students to perform a linear regression to find the line of best fit. Finally, have students express the equation of the line of best fit as the sum of two functions, one of the form y=mx and one of the form y=b. Ask students to interpret these functions in the context of the real world situation

Use McGraw Hill Resouces

SAT Practice chapter 5