What is a rational function?
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Examples
Lessons
- Investigating Asymptotes on the Graph of Rational Functions
Consider the rational function .- Complete the table of values below, then plot the points on the grid.
-5
-4
-3
-2
-1
0
1
2
3
4
5
- What is the non-permissible value of the rational function?
- Now, let's investigate the behaviour of the rational function near the non-permissible value by plotting more points close to the non-permissible value.
1.5
1.9
1.99
2
2.01
2.1
2.5
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- To investigate the right-end behaviour of the rational function (as ), complete the table of values below and plot the points.
10
100
1000
- To investigate the left-end behaviour of the rational function (as ), complete the table of values below and plot the points.
-10
-100
-1000
- Complete the table of values below, then plot the points on the grid.