## Asymptotes – About asymptotes – pg.1/6

**Asymptotes: pg. 1, 2, 3, 4, 5, 6**

**Asymptotes: pg. 1, 2, 3, 4, 5, 6**

*Contents:*

*pg.1…..Asymptotes – About asymptotes*

*pg.1…..Asymptotes – About asymptotes*

*pg.2…..**Asymptotes – **Oblique or Slant asymptotes*

*pg.2…..*

*Asymptotes –*

*Oblique or Slant asymptotes*

*pg.3…..**Asymptotes – **Vertical asymptotes*

*pg.3…..*

*Asymptotes –*

*Vertical asymptotes*

*pg.4…..**Asymptotes – **Horizontal asymptotes*

*pg.4…..*

*Asymptotes –*

*Horizontal asymptotes*

*pg.5…..**Asymptotes – Exercises*

*pg.5…..*

*Asymptotes – Exercises*

*pg.6…..**Asymptotes – **Answers to exercises*

*pg.6…..*

*Asymptotes –*

*Answers to exercises*

*About asymptotes*

*About asymptotes*

**The asymptote of a function is a curve that satisfy the condition for which the distance between the asymptote and the function, approaches “0” , when they tend to infinity.**

**Asymptotes are used to build the graph of a function.**

**Asymptotes have different shapes. **

**We are going to show in the next pages ****how to derive the equations for the ***line asymptotes*.

*line asymptotes*.

**Below is a pictorial example for a graph of a function and its ***asymptotes*.

*asymptotes*.

**Note:**

**Note:**

**The asymptotes are used to help graphing a function.**

**To see a list with the 5 Steps for graphing a function on Cartesian Coordinates System click ***here*

*here*

**Asymptotes: pg. 1, 2, 3, 4, 5, 6**

**Asymptotes: pg. 1, 2, 3, 4, 5, 6**

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