7x - 5 x + 5 inflection points of f. Let f(x) = Find the intervals open s on which f is concave up (down). Then determine the x-coordinates of all 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x = 9- 9- Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of a values or the word "none".

Calculus: Early Transcendentals
8th Edition
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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Let \( f(x) = \frac{7x - 5}{x + 5} \). Find the open intervals on which \( f \) is concave up (down). Then determine the \( x \)-coordinates of all inflection points of \( f \).

1. \( f \) is concave up on the intervals __________.
2. \( f \) is concave down on the intervals __________.
3. The inflection points occur at \( x = \) __________.

**Notes:** In the first two, your answer should either be a single interval, such as \( (0,1) \), a comma separated list of intervals, such as \((- \infty, 2), (3,4)\), or the word "none".
In the last one, your answer should be a comma separated list of \( x \) values or the word "none".
Transcribed Image Text:Let \( f(x) = \frac{7x - 5}{x + 5} \). Find the open intervals on which \( f \) is concave up (down). Then determine the \( x \)-coordinates of all inflection points of \( f \). 1. \( f \) is concave up on the intervals __________. 2. \( f \) is concave down on the intervals __________. 3. The inflection points occur at \( x = \) __________. **Notes:** In the first two, your answer should either be a single interval, such as \( (0,1) \), a comma separated list of intervals, such as \((- \infty, 2), (3,4)\), or the word "none". In the last one, your answer should be a comma separated list of \( x \) values or the word "none".
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