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 complete set of possible values of the independent variable (input) 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 (output) that results 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 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 y-intercept?

Back

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

Front

What is a minimum point on a graph?

Back

A minimum point is the lowest point on the graph of a function, where the function value is less than or equal to the values around it.

Front

What is a maximum point on a graph?

Back

A maximum point is the highest point on the graph of a function, where the function value is greater than or equal to the values around it.

Front

What is an interval in the context of functions?

Back

An interval is a range of values on the x-axis or y-axis that defines where a function is increasing, decreasing, or constant.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the highest or lowest point of a parabola, representing the maximum or minimum value of the function.