Function Operations and Evaluations

This video tutorial covers the process of combining functions through addition, subtraction, and multiplication. It emphasizes the importance of not copying from the video and following a specific homework protocol to enhance learning. The tutorial provides detailed steps for adding and subtracting functions, including the distribution of negative signs. It also demonstrates how to evaluate functions at specific points using substitution and explores the multiplication of functions using the distributive property. The video concludes with advanced multiplication techniques involving monomials and binomials.

What is the first step in the homework protocol?

• Skip the assignment.

• Copy the answers from the video.

• Do the assignment by yourself.

• Ask a friend for help.

What should you do if you get a problem wrong?

• Ask the teacher for the answer.

• Copy the correct answer.

• Ignore it.

• Watch the video for that problem.

What is the result of adding the functions f(x) = 3x² + 5x - 8 and g(x) = 2x² + 4x - 9?

• 5x² + 9x - 17

• 5x² + 9x - 1

• 5x² + 9x + 17

• 5x² + 9x + 1

When adding functions, what can you do with the parentheses?

• Erase them without changing the expression.

• Multiply them by 2.

• Leave them as they are.

• Add them to the expression.

What is the result of subtracting f(x) = 3x² + 5x - 8 from g(x) = 2x² + 4x - 9?

• x² - x - 1

• x² + x - 1

• x² + x + 1

• x² - x + 1

What is a common mistake when subtracting functions?

• Forgetting to add the functions.

• Forgetting to distribute the negative sign.

• Forgetting to multiply the functions.

• Forgetting to divide the functions.

What is f(2) if f(x) = 3x² + 5x - 8?

• 10

• 16

• 12

• 14

What is g(2) if g(x) = 2x² + 4x - 9?

• 11

• 5

• 7

• 9

What is the result of 2 * f(x) - g(x) if f(x) = 3x² + 5x - 8 and g(x) = 2x² + 4x - 9?

• 4x² + 6x - 17

• 4x² + 6x + 7

• 4x² + 6x - 7

• 4x² + 6x + 17

What is the result of multiplying h(x) = 3x² by g(x) = x² + 5x?

• 3x⁴ + 15x²

• 3x⁴ + 15x³

• 3x³ + 15x³

• 3x³ + 15x²