• Increase
• Maxi-Min
• Optimization
• Concave
• Inflection Point
• Table
• Graphing

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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