Complete the table of values for the function using your calculator. f(x) = = Type DNE for Does Not Exist (really undefinded!) (Can you re-do this problem with factoring an logic"?) x 0.8 0.9 0.99 0.999 1 1.2 1.1 1.01 1.001 -0.55 f(x) x-1 x² - 1 X

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Complete the table of values for the function using your calculator.**

The function is \( f(x) = \frac{x - 1}{x^2 - 1} \).

Type DNE for Does Not Exist (really undefined!)

(Can you re-do this problem with factoring and "limit logic"?)

| \( x \)  | \( f(x) \) |
|----------|-----------|
| 0.8      | -0.55     |
| 0.9      |           |
| 0.99     |           |
| 0.999    |           |
| 1        |           |
| 1.2      |           |
| 1.1      |           |
| 1.01     |           |
| 1.001    |           |

**Table Explanation:**
- The table lists values of \( x \) with the corresponding calculation of \( f(x) \).
- \( x = 1 \) is a point where the function is undefined, and the task is to investigate this using limits and factoring.
- The value \( -0.55 \) is the calculated output for \( f(0.8) \).
- The red 'X' indicates an error or undefined calculation which invites further analysis using factorization or limits.
Transcribed Image Text:**Complete the table of values for the function using your calculator.** The function is \( f(x) = \frac{x - 1}{x^2 - 1} \). Type DNE for Does Not Exist (really undefined!) (Can you re-do this problem with factoring and "limit logic"?) | \( x \) | \( f(x) \) | |----------|-----------| | 0.8 | -0.55 | | 0.9 | | | 0.99 | | | 0.999 | | | 1 | | | 1.2 | | | 1.1 | | | 1.01 | | | 1.001 | | **Table Explanation:** - The table lists values of \( x \) with the corresponding calculation of \( f(x) \). - \( x = 1 \) is a point where the function is undefined, and the task is to investigate this using limits and factoring. - The value \( -0.55 \) is the calculated output for \( f(0.8) \). - The red 'X' indicates an error or undefined calculation which invites further analysis using factorization or limits.
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