Interpreting Function Notation: Understanding f(x)

This lesson explains function notation, focusing on the common form F of X. It addresses misconceptions, such as confusing F of X with multiplication, and clarifies that function notation can use various variables. The lesson illustrates how function notation identifies a relation as a function, with examples like C of R for circumference and D of T for distance. These examples show how function notation highlights the dependency of outputs on inputs, reinforcing the understanding of functions.

What does F of X represent in function notation?

• The input when F is the output

• A constant value

• The output when X is the input

• F multiplied by X

Which of the following is NOT a valid form of function notation?

• F of X

• G of X

• H of T

• X of F

In function notation, what does the first variable represent?

• The output value

• A constant

• The function's name

• The input value

How can the formula for circumference be expressed using function notation?

• C of R = 2πR

• C = 2πR

• R of C = 2πC

• C = R of 2π

What does D of T represent in the context of distance and time?

• Rate as a function of time

• Distance as a function of time

• Time as a function of rate

• Time as a function of distance