Creating New Functions by Adding and Subtracting

This lesson teaches how to create new functions by adding and subtracting existing ones. It begins with a review of what a function is, emphasizing the relationship between inputs and outputs. The lesson then demonstrates how to combine functions through addition and subtraction, using examples to illustrate the process. Graphical representations are used to show the results of these combinations. The lesson concludes by summarizing the key points of creating new functions from existing ones.

What is a function and how is it defined in terms of inputs and outputs?

Explain the process of evaluating a function at a specific value, using the example of f of x at x equals 4.

What does the domain and range of a function represent?

Describe how to combine two functions by addition and provide an example.

What is the significance of distributing a negative one when subtracting functions?

How can the graphs of combined functions visually represent the new function formed?

Summarize the key learning points from this lesson on creating new functions.