Absolutely!
What can you say about this graph? A number of questions have been suggested to help you look at the graph in different ways. Use these to help you make sense of this and similar graphs.
Problem
Take a look at the graph below.
Image
How would you describe it?
What questions might you ask yourself about this graph?
This is an Underground Mathematics resource.
Underground Mathematics is hosted by Cambridge Mathematics. The project was originally funded by a grant from the UK Department for Education to provide free web-based resources that support the teaching and learning of post-16 mathematics.
Visit the site at undergroundmathematics.org to find more resources, which also offer suggestions, solutions and teacher notes to help with their use in the classroom.
Underground Mathematics is hosted by Cambridge Mathematics. The project was originally funded by a grant from the UK Department for Education to provide free web-based resources that support the teaching and learning of post-16 mathematics.
Visit the site at undergroundmathematics.org to find more resources, which also offer suggestions, solutions and teacher notes to help with their use in the classroom.
Getting Started
Here are some questions that you might like to think about, if you have not already considered them.
- Is this a proper function?
- Does it matter that it has two different parts?
- Is there a formula for this?
- Are there other functions that look similar to this?
- How could I move the 'corner'?
- How would a function like this occur?
- How could it be used?
- What could a function like this model?
This is an Underground Mathematics resource.