Key Features of a Function

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 x-intercept of a function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis, meaning the output (y-value) is zero.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, meaning the input (x-value) is zero.

Front

How do you find the maximum point of a function?

Back

The maximum point of a function is found at the highest point on the graph, where the function changes from increasing to decreasing.

Front

How do you find the minimum point of a function?

Back

The minimum point of a function is found at the lowest point on the graph, where the function changes from decreasing to increasing.

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 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 critical point in a function?

Back

A critical point is where the derivative of the function is zero or undefined, indicating potential maximum or minimum points.