Function Operations and Their Effects

The video tutorial explains how to add and subtract functions, using graphs to illustrate the process. It covers the basics of adding and subtracting numbers, then applies these concepts to functions. The tutorial includes examples of graphing functions F(x) and G(x) to find a new function H(x), demonstrating both addition and subtraction of functions. Key points include understanding the domain where both functions overlap and ensuring correct addition or subtraction of Y values.

What is the result of adding two functions together?

• The product of their y-values

• The sum of their y-values

• The product of their x-values

• The sum of their x-values

When adding functions, what is the first step?

• Multiply the x-values

• Subtract the y-values

• Divide the x-values

• Add the y-values

In the context of functions, what does the notation F + G represent?

• The sum of F and G

• The product of F and G

• The difference between F and G

• The division of F by G

What happens to the graph of a function when you add another function to it?

• It shifts vertically

• It shifts horizontally

• It rotates

• It reflects

How do you determine the new y-value when adding two functions at a specific x-value?

• Multiply the y-values of both functions

• Divide the y-values of both functions

• Add the y-values of both functions

• Subtract the y-values of both functions

What is the effect of adding a function to another on the graph?

• It rotates the graph

• It reflects the graph

• It shifts the graph horizontally

• It shifts the graph vertically

What is the first step in adding two functions?

• Subtract the y-values

• Add the y-values

• Subtract the x-values

• Add the x-values

What is the effect of adding a function to another on the graph?

• It reflects the graph

• It rotates the graph

• It shifts the graph horizontally

• It shifts the graph vertically

What is the first step in adding two functions?

• Add the x-values

• Subtract the x-values

• Subtract the y-values

• Add the y-values

What is the effect of adding a function to another on the graph?

• It reflects the graph

• It shifts the graph horizontally

• It shifts the graph vertically

• It rotates the graph