Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

What does h(4) = 5 mean in the context of a plant's height?

Back

It means that after 4 weeks, the plant is 5 inches tall.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input is associated with exactly one output.

Front

What does f(3) represent in the context of a baseball's speed?

Back

It represents the speed of the baseball after 3 seconds.

Front

What is the first step to find f(1) if f(x) = 2x + 1?

Back

Plug a 1 in for all the x's.

Front

What does f(2) = 80 represent in the context of a baseball's speed?

Back

It means that after 2 seconds, the baseball is traveling at 80 mph.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.