Key Features of a Function

Front

What is the end behavior of a function?

Back

Front

What is the parent function for an absolute value function?

Back

Front

How do you express the interval -9 < x ≤ -4 in interval notation?

Back

The interval -9 < x ≤ -4 is expressed in interval notation as (-9, -4].

Front

What are the x- and y-intercepts of a function?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is the point where the graph crosses the y-axis (x=0). For example, x-int (3,0) and y-int (0,1).

Front

What are the y-values used to graph a function called?

Back

The set of all y-values used to graph a function is called the Range.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

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 does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as the x-values increase, the y-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 x-values increase, the y-values decrease.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, the relation is not a function.