Function Evaluation and Notation

This video tutorial introduces function notation, explaining how to represent functions using symbols like f(x) and g(x). It begins with a basic example using numerical input, then explores algebraic inputs. The video demonstrates solving function problems with specific functions, such as f(x) = 3x - 1 and g(x) = x^3 + 5x, using various inputs. The tutorial concludes with a summary and encourages viewers to subscribe for more content.

What is the output of the function machine if the input is 7?

• 21

• 14

• 19

• 12

How do you express the function output when the input is x?

• 2x - 5

• x + 5

• x - 5

• 2x + 5

What is the function notation for an input of 7?

• f(x) = 2x + 5

• f(7) = 2x + 5

• f(7) = 19

• f(x) = 19

Calculate f(2) for the function f(x) = 3x - 1.

• 5

• 6

• 7

• 8

What is the result of f(8) for the function f(x) = 3x - 1?

• 27

• 21

• 25

• 23

Find f(-4) for the function f(x) = 3x - 1.

• -11

• -14

• -12

• -13

What is g(2) for the function g(x) = x^3 + 5x?

• 16

• 22

• 18

• 20

Calculate g(5) for the function g(x) = x^3 + 5x.

• 155

• 150

• 145

• 160

What is the output of g(-3) for the function g(x) = x^3 + 5x?

• -42

• -46

• -40

• -44

Which of the following is a correct expression for g(x) = x^3 + 5x?

• x^3 + 5

• x^3 + 5x

• x^2 + 5x

• x^3 - 5x