PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
FROM FRIDAY'S LESSON...
A problem asked to determine if a function f(x) was continuous at x=3 and if it was not, to determine what type of discontinuity existed (removable, jump, or infinite). The function f(x) was found to be discontinuous at x = 3 because f(3) was undefined (failed the first part of the continuity test).
In order to determine what type of discontinuity exists at x=3, you can investigate what happens to the value of f(x) as x approaches 3 from the right and left .
If we obtained the tables below, state what kind of discontinuity would exist at x = 3, for each table.
a)
b)
c)
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PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
Determine whether each function is continuous at the give x­value(s). Justify using the continuity test. If discontinuous, identify the type of discontinuity as infinite, jump, or removable. a)
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PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
b)
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PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
1­3C End Behavior End Behavior: The end behavior of a function describes how a function “behaves” at either end of the graph. In other words, end behavior is what happens to the value of f(x) as x increases or decreases without bound (goes to positive or negative infinity). We can use the concept of a limit to describe end behavior.
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PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
Ex 1) Use the graph of the equation below to describe its end behavior. Support the conjecture numerically.
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PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
Ex 2) Use the graph of the equation below to describe its end behavior. Support the conjecture numerically.
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PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
Ex 3) Use the graph of the equation below to describe its end behavior. Support the conjecture numerically.
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PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
Use the graph to describe its end behavior. Support the conjecture numerically. Analyze Graphically
Support Numerically 8
PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
Directions: State the left and right end behaviors of each of the following graphs.
1)
2)
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PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
c)
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PreCalc 10.19.15 1­3C End Behavior.notebook
October 19, 2015
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