Functions Vocab

Front

What is a function?

Back

A special relationship where each input has a single output.

Front

What is the output of a function?

Back

The value that comes out of the function, also known as the dependent variable.

Front

What is a function table?

Back

A visual representation that shows the relationship between inputs and outputs.

Front

What is the vertical line test?

Back

A graphical method used to determine whether a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is a nonlinear function?

Back

A function whose plotted graph is a curved line, indicating that the relationship between variables is not constant.

Front

What is the definition of a relation?

Back

A set of ordered pairs, where each input can be associated with one or more outputs.

Front

What is the difference between input and output in a function?

Back

Input is the value you put into the function, while output is the value you get out of the function.

Front

What is a linear function?

Back

A function whose graph is a straight line, indicating a constant rate of change.

Front

What does the term 'slope' refer to in a function?

Back

The slope is the measure of the steepness of a line, representing the rate of change between the input and output.

Front

What is the y-intercept?

Back

The point where the graph of a function crosses the y-axis, indicating the output when the input is zero.