Functions: Graphs of Functions
Algebra. This section covers:
- Transformations
- Sketching the inverse function
- Sketching the graphs of exponential and logarithmic functions
Overview
Transformations
Given the graph of a function f(x), you will be expected to be able to identify and sketch related functions. The table describes basic transformations and the examples below show combinations of these.
For more on this topic, have a look at our CfE Higher Mathematics Study Guide, pp. 24–27.
Activities
Check out some great links on this topic at mathsisfun.com, plus.maths.org and Wikipedia.
And some more at this Google search.
Thoughts
1. The section of graph in the first quadrant is part of the graph of f(x) = 1x
Use the transformation-of-graphs techniques to establish the equations of the other three sections of the graph. (3)
2. The diagram shows the graph of y = f(x) where f is a logarithmic function. What is f(x)? (2)
