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.

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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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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.