Function Evaluation and Notation

This video tutorial introduces function notation, explaining how to represent functions using f(x) and g(x). It provides examples with both numerical and algebraic inputs, demonstrating how to calculate outputs using function notation. The video covers different functions, such as f(x) = 3x - 1 and g(x) = x^3 + 5x, and shows how to solve them with various inputs. The tutorial concludes with a call to action for viewers to subscribe for more content.

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

• 19

• 14

• 12

• 21

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

• 5x + 2

• x^2 + 5

• 2x + 5

• x + 5

What is the function notation for an input of 7?

• f(x) = 7x + 5

• f(x) = 2x + 5

• f(7) = 2x + 5

• f(7) = 2(7) + 5

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

• 8

• 6

• 7

• 5

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

• 25

• 23

• 21

• 27

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

• -11

• -13

• -12

• -14

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

• 16

• 18

• 22

• 20

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

• 150

• 160

• 145

• 155

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

• -42

• -45

• -50

• -48

Which of the following is a correct expression for g(x) = x^3 + 5x when x = 2?

• 2^2 + 5(2)

• 2^3 + 2(5)

• 2^3 + 5(2)

• 2^2 + 2(5)