Evaluating Function Notation and Its Applications

The video tutorial covers function notation, explaining how to use and interpret it. It begins with an introduction to function notation, followed by a discussion on independent and dependent variables. The tutorial then explains how to write function notation using ordered pairs and provides examples of evaluating functions. The video emphasizes the importance of understanding function notation and offers tips for creating shorthand notes.

What is the independent variable in a function?

• The domain or x value

• The output value

• The function notation

• The range or y value

In the function f(x) = x + 4, what is the output when x = 2?

• 6

• 8

• 4

• 2

How is function notation typically written?

• As a single number

• As an ordered pair

• As a fraction

• As a product

What does f(1) equal in the function f(x) = 5x + 3?

• 5

• 6

• 8

• 7

If y = 3x + 6, how would you write this in function notation?

• f(y) = 3y + 6

• f(x) = 3x + 6

• f(y) = 3x + 6

• f(x) = y + 6

What is f(0) for the function f(x) = 3x + 6?

• 0

• 3

• 6

• 9

What is the result of f(2) for the function f(x) = 3x + 6?

• 6

• 8

• 12

• 10

How do you evaluate f(x + 2) for the function f(x) = 3x + 6?

• 3x + 6 + 2

• 3x + 2 + 6

• 3(x + 2) + 2

• 3(x + 2) + 6

What is f(t) for the function f(x) = 3x + 6?

• 3x + 6

• 3t + x

• 3x + t

• 3t + 6

What is the value of f(-2) for the function f(x) = 3x^2 + x?

• 10

• 12

• 16

• 14