Take a look at these graphs. The numbered graphs show the gradient functions of ones with letters, but some are missing…
- Try to pair up a function with its gradient function. Which features of the graphs will you use to justify your reasoning?
- If a graph can’t be paired up with anything, try to sketch a graph that would complete its pair.
One way to approach this is to group the graphs with letters into different “families” and match these groups with gradient function graphs with appropriate features. Can you explain why this approach could lead to the following groups?
Now think about how to pair these cards up within the groups.