Functions, Functions, Functions

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if every vertical line intersects the graph at most once.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {0, 1, 2, -4}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {1, -3, -4}.

Front

What is a one-to-one function?

Back

A function where each output is associated with exactly one input.

Front

What is a vertical line test?

Back

A method to determine if a curve is a function by checking if any vertical line crosses the curve more than once.

Front

What is the difference between a function and a relation?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.