One main thing we learned about this week was about graphs. We learned about how to find domain and range, we learned about finding out whether a graph is continuous or discrete, we got to find out whether it was a function or relation, and so much more.

This is the graph that we are going to be working with.

We are going to find its domain and range, find out whether it’s continuous or discrete, and lastly find out whether it’s a function or relation.

first: domain and range

The domain is the set of all possible inputs for a function. To find the domain, it can be shown on the X axis. That being said, the domain for this graph would be: -3 ≤ x ≤ 7

The range is the set of possible outputs. To find the range, you look at the Y axis. That being said, the range for this graph would be: -2 ≤ y ≤ 4

second: continuous or discrete

To find out whether the graph is continuous or discrete you look at the dots/lines. if there are just dots on the graph then it’s discrete. If the dots are connected and they form a line that it’s continuous. In this case, there is a line therefore this graph is continuous.

third: functions and relations

To find out whether the graph is a function or relation, you check to see if each of the input values leads to only one output value. If an input value has only one output value, then it is a function. But if it has two or more, then it is a relation.

You can also do a vertical line check to find out whether a graph is a function or relation period to do that, you can run a vertical line over your graph. If the line goes over two or more output values at once, then you’ll know immediately that it’s a relation and not a function. But if your vertical line goes over only one output value from the beginning to end of your graph then it is a function.

This graph passes the vertical line check so it’s a function.

In conclusion one main thing that I learned about this week was about graphs and how to find domain and range, find out whether it’s continuous or discrete, and to find out whether it’s a function or relation.