Key Features of a Graph

Front

What is the domain of a graph?

Back

The domain of a graph is the set of all possible x-values (inputs) for which the function is defined.

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible y-values (outputs) that the function can produce.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {-4, -3, 1}.

Front

How do you determine the domain of a graph?

Back

To determine the domain, identify all x-values that the graph covers from left to right.

Front

How do you determine the range of a graph?

Back

To determine the range, identify all y-values that the graph covers from bottom to top.

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing on an interval if the y-values rise as the x-values increase.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing on an interval if the y-values fall as the x-values increase.

Front

What is an interval of increase?

Back

An interval of increase is a range of x-values where the function's output (y-value) is increasing.

Front

What is an interval of decrease?

Back

An interval of decrease is a range of x-values where the function's output (y-value) is decreasing.