Characteristics of Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the maximum value of a function?

Back

The maximum value is the highest point on the graph of the function.

Front

What is the minimum value of a function?

Back

The minimum value is the lowest point on the graph of the function.

Front

What does it mean for a function to be increasing?

Back

A function is increasing when its output values rise as the input values increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing when its output values fall as the input values increase.

Front

What is a constant interval in a function?

Back

A constant interval is where the function's output does not change as the input changes.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line and may include curves or other shapes.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.