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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