Function Notation and Evaluation

This video tutorial introduces function notation, explaining how to represent functions using f(x) and g(x). It begins with a basic example using numerical input, then explores algebraic inputs. The video demonstrates solving functions like f(x) = 3x - 1 and g(x) = x^3 + 5x for various inputs, illustrating the process of replacing variables with specific numbers to calculate outputs. The tutorial concludes with suggestions for further learning.

What is the primary purpose of a function machine?

• To compare two different inputs

• To divide inputs by a constant

• To generate an output from an input

• To store inputs for later use

If the input to a function machine is x, what is the first operation performed?

• Subtract 3 from x

• Divide x by 2

• Multiply x by 2

• Add 5 to x

How is the function notation f(x) pronounced?

• f plus x

• f times x

• f divided by x

• f of x

What does the notation f(x) represent?

• A subtraction of x from f

• A division of f by x

• A multiplication of f and x

• A function of x

How do you write the function output for an input of 7 using function notation?

• f(7) = 7x + 5

• f(7) = 2x + 5

• f(7) = 2(7) + 5

• f(7) = 7 + 5

What is the output of the function f(x) = 3x - 1 when x = 2?

• 4

• 5

• 6

• 7

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

• 23

• 22

• 24

• 21

What is the output of g(x) = x^3 + 5x when x = 2?

• 20

• 18

• 16

• 22

For the function g(x) = x^3 + 5x, what is g(5)?

• 155

• 150

• 160

• 145

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

• -44

• -46

• -42

• -40