To sketch curves you have to follow these instructions:
1. Find any stationary points (y' = 0)
2. Find points of inflexion (y" = 0 and concavity changes)
3. find x and y intercepts.
4. Find domain and range of a function.
5. Find any asymptotes or limits of the function.
6. Determine if the function is odd or even for symmetry.
7. Draw up a table of values.
See example below:
1. Find any stationary points (y' = 0)
2. Find points of inflexion (y" = 0 and concavity changes)
3. find x and y intercepts.
4. Find domain and range of a function.
5. Find any asymptotes or limits of the function.
6. Determine if the function is odd or even for symmetry.
7. Draw up a table of values.
See example below:
NOW IT'S YOUR GO!!!! There are two different sets of questions if you wish to try the harder ones try the second set.