One-sided limits from graphs | |
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Description | |
Exercise Name: | One-sided limits from graphs |
Math Missions: | Precalculus Math Mission, Mathematics III Math Mission Differential calculus Math Mission |
'Types of Problems: | 2 |
The One-sided limits from graphs exercise appears under the Precalculus Math Mission, Mathematics III Math Mission and Differential calculus Math Mission. This exercise introduces and practices various kinds of one-sided limits.
Types of Problems
There are two types of problems in this exercise:
- Select the limit from the list: This problem provides the student with a graph of a function. The student is asked to use the graph to determine the one-sided limit and make the correct selection from a multiple choice list.
- Find the value of the limit: This problem provides the student with a graph of a function. The student is asked to use the graph to determine the one-sided limit and type it in the space provided.
Strategies
Knowledge and comfort with reading functions from graphs would ensure success on this exercise.
- One-sided limits always exist and can possibly be infinite.
- Use a finger and travel along the curve towards the x-value in the limit from the direction specified in the problem (- is from the left and + is from the right).
- The y-value is the answer since that is the output (value) of the function.
- On the Find the value of the limit problem the limit will not be infinity.
- Occasionally the function will be given also a rule . If so, it is possible to find the answer and select it before the graph loads.
Real-life Applications
- Limits are the foundation of the definition for both the derivative and the integral from calculus.
- Calculus has massive applications to physics, chemistry, biology, economics and many other fields.