Finding the Domain and Range from a Graph

Figuring out the domain and range of a graph can be tough, especially for Year 12 students dealing with tricky math concepts. Many students have a hard time seeing all parts of the graph. But understanding the whole graph is important for finding the domain and range correctly.

1. What is the Domain?

The domain is all the possible x-values (the horizontal side) where the function is valid.

Here’s how to find it:

• Look at how far left and right the graph goes.
• Check for any breaks or spots where the graph doesn't exist, like vertical gaps.

2. What is the Range?

The range consists of all the possible y-values (the vertical side). This can be just as tough to figure out since it involves looking at how high and low the graph goes.

Key things to look for include:

• The highest and lowest points of the graph.
• Any problems that stop the graph from covering certain y-values, like horizontal gaps.

These tasks might feel hard, but there are ways to make it easier.

You can:

• Mark important points on the graph as you look.
• Explore sections of the graph to see how it behaves.
• Use technology, like graphing tools, to help you see the function better.

With some practice and focus on the details, you’ll get better at finding the domain and range in no time!