Adding and Subtracting Functions

The video tutorial explains how to perform addition and subtraction on two polynomial functions. It begins with adding functions by combining like terms, ensuring the highest exponent is listed first. The tutorial then covers subtracting functions, emphasizing the importance of order and distributing the negative sign. The final results for both operations are provided, demonstrating the correct method for combining polynomial functions.

What is the first step in adding two functions together?

• Multiply the coefficients

• Add the coefficients of like terms

• Subtract the coefficients

• Divide the coefficients

When adding g(x) = 2x^2 - 8 and j(x) = 7x^3 - 5x^2 + 8, what is the resulting x^2 term?

• 7x^2

• -3x^2

• 2x^2

• 5x^2

What happens to the constant terms when adding g(x) and j(x) in this example?

• They are added

• They are subtracted

• They cancel each other out

• They are multiplied

Why is the order important when subtracting functions?

• Because multiplication is commutative

• Because addition is not commutative

• Because subtraction is not commutative

• Because subtraction is commutative

What must be done to the second function when subtracting it from the first?

• Multiply it by 2

• Divide it by the first function

• Add it directly

• Distribute the negative sign

In the subtraction example, what is the resulting x^2 term after combining like terms?

• 5x^2

• 2x^2

• -7x^2

• 7x^2

What is the final constant term in the subtraction example?

• -8

• 0

• 8

• 16

What is the final result of subtracting g(x) from j(x) in this example?

• 7x^3 + 7x^2 - 16

• 7x^3 - 3x^2

• 7x^3 + 3x^2 - 16

• 7x^3 - 7x^2 + 16

What is a key reminder when performing subtraction of functions?

• Multiply the functions

• Ignore the order of functions

• Distribute the negative sign correctly

• Always add the functions first

What is the main difference between adding and subtracting functions?

• Adding functions requires distribution

• Subtracting functions requires careful order

• Adding functions is not commutative

• Subtracting functions is commutative