Evaluating Functions: Notation and Examples

This video tutorial introduces the concept of evaluating functions in algebra. It begins with a basic explanation of functions as mathematical machines that take input values and produce output values. The tutorial covers evaluating linear functions, function G, absolute value functions, and more complex functions, providing step-by-step examples for each. The lesson emphasizes the importance of substitution and careful calculation. The video concludes with a summary and a preview of the next lesson, which will cover more complex functions.

What is the main focus of this lesson?

• Graphing functions

• Solving equations

• Evaluating functions

• Factoring polynomials

If f(x) = x + 2, what is f(0)?

• 3

• 2

• 1

• 0

What does f(x) = x + 2 represent?

• A quadratic function

• A logarithmic function

• A linear function

• An exponential function

If f(x) = x + 2, what is f(-1)?

• 3

• 2

• 0

• 1

Which letter is most commonly used to represent functions in algebra?

• U

• H

• F

• G

If g(x) = 1 - 2x, what is g(-2)?

• 3

• 5

• 1

• 4

If g(x) = 1 - 2x, what is g(3)?

• -5

• -3

• 0

• 1

If f(x) = |2 - x|, what is f(0)?

• 3

• 2

• 0

• 1

If h(x) = 10 / (x^2 + 1), what is h(0)?

• 1

• 10

• 5

• 0

If f(x) = (1 - x) / x^3, what is f(2)?

• -1/8

• 1/8

• 1/2

• -1/2