Describing Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of f(x) decreases.

Front

What is an x-intercept?

Back

An x-intercept is a point where the graph of a function crosses the x-axis, meaning f(x) = 0.

Front

What is an interval of increase?

Back

An interval of increase is a range of x-values over which the function's output values are increasing.

Front

What is an interval of decrease?

Back

An interval of decrease is a range of x-values over which the function's output values are decreasing.

Front

What is end behavior of a function?

Back

End behavior describes how the values of a function behave as x approaches positive or negative infinity.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.