Module 1 - Describing Functions |
Introduction | Lesson 1 | Lesson 2 | Lesson 3 | Self-Test |
Lesson 1.3: Describing Functions Numerically |
In Lesson 1.1 you defined the function f(x) = 2x2 5x 3 and found its zeros with Guess and Check and by factoring. In Lesson 1.2 you graphed the function and found its zeros graphically. In this lesson you will represent the function numerically with a table and use the table to find the zeros. Creating a Table of Function Values To make a table of values for a function, you need to enter the function in the Y= Editor. You should have already done this in Lesson 1.1.
![]() Displaying the Table Setup Screen Before you view the table, you should set its parameters.
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Table Setup Parameters TblStart and
The value in TblStart will be the first value of x in the table.
The value in
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![]() Finding Zeros from a Table The table provides numerical evidence for two zeros. One zero must exist between x = -1 and x = 0 because the corresponding values in Y1 change sign and the function is continuous, i.e., there are no breaks in its graph. The other zero is x = 3 because the corresponding value of Y1 is 0.
You can get a better approximation of the zero between -1 and 0 by changing
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This method of decreasing
1.3.1 What zero is shown in the table above? Click here for the answer. Summarizing For r a real number, the following statements are equivalent:
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