Key features of a cubic graph
I can identify the key features of a cubic graph.
Key features of a cubic graph
I can identify the key features of a cubic graph.
Lesson details
Key learning points
- A cubic graph has a distinct shape.
- The roots of a cubic graph are where the graph intersects with the x-axis.
- The turning points are the local maximum and local minimum points of the graph.
Common misconception
$$y=x^3$$ has one root so all cubic graphs have one root.
Make sure pupils see a wide variety of cubic graphs; ones with one root, two roots and three roots and link every one back to its equation and that the highest exponent of the variable is $$3$$ so they are all cubic graphs.
Keywords
Cubic - A cubic is an equation, graph, or sequence whereby the highest exponent of the variable is 3
Roots - When drawing the graph of an equation, the roots of the equation are where its graph intercepts the x-axis (where y = 0).
Turning point - The turning point of a graph is a point on the curve where, as x increases, the y values change from decreasing to increasing or vice versa.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
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