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 does it mean for a function to be constant on an interval?

Back

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

Front

What are x-intercepts?

Back

X-intercepts are points where the graph of a function crosses the x-axis, meaning the output value (y) is zero.

Front

What are y-intercepts?

Back

Y-intercepts are points where the graph of a function crosses the y-axis, meaning the input value (x) is zero.

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 maximum value of a function?

Back

The maximum value of a function is the highest output value that the function can achieve over its entire domain.

Front

What is a minimum value of a function?

Back

The minimum value of a function is the lowest output value that the function can achieve over its entire domain.