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 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 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 constant on an interval?

Back

A function is constant on an interval if it takes the same value for every input within that interval.

Front

What is an increasing function?

Back

An increasing function is one where the output values increase as the input values increase.

Front

What is a decreasing function?

Back

A decreasing function is one where the output values decrease as the input values increase.