Chapters
- 1. Domain of the function.
- 2.Intersections with the x-axis and y-axis.
- 3. Asymptotes.
- 4.Increases and decreases.
- 5. Maxima and minima.
- 6.Concavity and convexity.
- 7. Inflection points.
- Domain
- x-intercepts
- y-intercept
- Asymptotes
- Increases and Decreases
- Minimum
- Maximum
- Concavity and Convexity
- Inflection Points
- Graph the Function
To represent a function graphically, calculate the points or intervals in the function where it changes its behavior. To do so, find the following mathematical characteristics:
1. Domain of the function.
2.Intersections with the x-axis and y-axis.
3. Asymptotes.
4.Increases and decreases.
5. Maxima and minima.
6.Concavity and convexity.
7. Inflection points.
Representation of a Function Example
Domain
x-intercepts
y-intercept
Asymptotes
Horizontal asymptote
There are no vertical or oblique asymptotes.
Increases and Decreases
Minimum
Maximum
Concavity and Convexity
Inflection Points
Graph the Function
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