# graphing   4 videos

• #### Limits: A Graphical Approach

##### CalculusLimits and Continuity

How to determine one-sided and two-sided limits from the graph of a function.

one sided limits two sided limits limit does not exist piecewise functions left hand limit right hand limit graph graphical approach
• #### Limits and End Behavior

##### CalculusLimits and Continuity

How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.

limits rational functions limit at infinity limit at negative infinity horizontal asymptotes end behavior
• #### Optimization Using the First Derivative Test

##### CalculusApplications of the Derivative

How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.

• #### Optimization Using the Second Derivative Test

##### CalculusApplications of the Derivative

How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.