Function Notation

Front

How do you read f(x)?

Back

f of x

Front

If a question asks you to find f(2), what does that mean?

Back

Let x = 2

Front

The speed of a baseball, measured in mph, is a function of the time since it has been hit by a bat, measured in seconds. What does f(4) = 65 represent in the situation?

Back

The ball is traveling 65 mph, 4 seconds after it was hit.

Front

f(x) is the same thing as ______.

Back

y

Front

Passes completed is a function of number of passing attempts. What is the dependent variable (output) in this situation?

Back

Passes completed

Front

What is function notation?

Back

A way to represent a function using symbols, typically f(x), where f is the function name and x is the input.

Front

What does the notation f(a) represent?

Back

The output of the function f when the input is a.

Front

In the function f(x) = 2x + 3, what is the output when x = 5?

Back

f(5) = 2(5) + 3 = 13.

Front

What is the independent variable in the function f(x) = x^2?

Back

x is the independent variable.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form f(x) = mx + b.