Combining Functions: Adding and Subtracting Graphs

This video tutorial teaches how to combine the graphs of two functions by adding and subtracting them. It explains the process of creating new functions through these operations and addresses common misunderstandings, such as confusing 'nothing' with zero. The tutorial provides examples of adding and subtracting functions using Y coordinates and key X values, respectively. It also discusses the domain of combined functions, emphasizing the intersection of the domains of the original functions.

What is the result of adding the expressions of two functions F(x) and G(x)?

• F(x) - G(x)

• F(x) + G(x)

• F(x) / G(x)

• F(x) * G(x)

When combining functions, what is a common mistake regarding undefined values?

• Adding undefined values as negative

• Treating undefined values as one

• Ignoring undefined values

• Assuming undefined values are zero

What should you do when a function is not defined for a certain X value?

• Use the value from the other function

• Do not define the combined function at that X value

• Ignore the X value

• Assume the value is zero

How do you find the domain of a combined function F + G?

• Domain of G only

• Domain of F only

• Intersection of the domains of F and G

• Union of the domains of F and G

What is the domain of F + G if F is defined for all real numbers and G is defined for non-negative numbers?

• All real numbers

• Positive numbers

• Negative numbers

• Non-negative numbers