​Domain- (x) input values.

​The domain of a function is the set of input values or all possible x-values listed least to greatest (left to right on a graph). There are two types of graphs you can have. (discrete and continuous)

​discrete continuous

The domain of this graph is all the (x) values of each point.

*remember, each coordinate is (x,y) so, for domain you are looking at the first number inside each parenthesis. You always look from left to right.

​

This graph is discrete because it has points instead of a line segment.

The domain of this graph is all the (x) values of each point.

think of where each dot would "fall" into the x axis.

This example this graph would have a domain of {0, 1, 2, 3, 4, 5, 6}

​

This graph is discrete because it has points instead of a line segment.

Continuous graphs have a subset of the domain or range of the full function including a lower and upper boundary. They are written in inequality notation.

​Continuous Graphs

To find the domain of a continuous graph use the most left and most right dot and think where would the dot "crash" into the x axis.

​Continuous Graphs

To write the domain on continous graphs use inequality notation. Open dots use </> and closed use ≤/≥.

the left value goes first, the right value second!

​Continuous Graphs
"Inequality notation"

Remember for every coordinate it is (x,y), domain is x values, so only look at the first number of every coordinate.

For this example the answer would read as follows.

− 3 < x ≤ 6.

​Range (y) - output values.

Range is the output values or all possible y-values also listed least to greatest. Range goes from bottom to top on a graph. You will be asked to find range with discrete and continuous graphs.

​discrete continuous

The range of this graph is all the (y) values of each point.

*remember, each coordinate is (x,y) so, for range you are looking at the second number inside each parenthesis. You always look from bottom to top.

​

This graph is discrete because it has points instead of a line segment.

The range of this graph is all the (y) values of each point.

think of where each dot would "run into" into the y axis.

This example this graph would have a range of {0, 30, 60, 90, 120, 150}

​

This graph is discrete because it has points instead of a line segment.

To find the range of a continuous graph use the lowest and highest dot and think where would the dot "crash" into the y axis.

​Continuous Graphs

To write the range on continous graphs use inequality notation. Open dots use </> and closed use ≤/≥.

the bottom value goes first, the top value second!

​Continuous Graphs