Key Features of 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 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 a minimum in a function?

Back

The minimum of a function is the lowest point on the graph of the function, representing the smallest output value.

Front

What is a maximum in a function?

Back

The maximum of a function is the highest point on the graph of the function, representing the largest output value.

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, y).

Front

What is an x-intercept?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, represented as (x, 0).

Front

What does it mean for a function to be increasing?

Back

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

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as the input values increase, the output values decrease.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.