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 function name and x is the input variable.

Front

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

Back

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

Front

What does it mean to find f(2)?

Back

It means to evaluate the function at x = 2.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What does h(12) = 16 represent in the context of a plant's height?

Back

It means that the plant is 16 inches tall after 12 weeks.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between a function and a relation?

Back

A relation can have multiple outputs for a single input, while a function must have only one output for each input.

Front

What does it mean if a mapping is not a function?

Back

It means that at least one input is associated with more than one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.