rals on which the function is concave up or down. - + 4 s an interval in the form (*, *). Use the symbol co for infinity, U for comb (",")", "[","]" depending on whether the interval is open or closed. Enter m. Use symbolic notation and fractions where needed.) on "n on inflection. s a comma-separated list of points in the form (*, *). Express numbers in needed. Enter DNE if the function has no inflection points.)
rals on which the function is concave up or down. - + 4 s an interval in the form (*, *). Use the symbol co for infinity, U for comb (",")", "[","]" depending on whether the interval is open or closed. Enter m. Use symbolic notation and fractions where needed.) on "n on inflection. s a comma-separated list of points in the form (*, *). Express numbers in needed. Enter DNE if the function has no inflection points.)
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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![**Determine the intervals on which the function is concave up or down.**
\[ w(t) = \frac{t^4 - 1}{t} + 4 \]
*(Give your answer as an interval in the form \((\ast, \ast)\). Use the symbol \(\infty\) for infinity, \(\cup\) for combining intervals, and an appropriate type of parenthesis "\((\)", "\()"\), "\([\)", "\()"\)" depending on whether the interval is open or closed. Enter \(\emptyset\) if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)*
- **\( w \) is concave up on**
- **\( w \) is concave down on**
---
**Find the point(s) of inflection.**
*(Give your answer as a comma-separated list of points in the form \((\ast, \ast)\). Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no inflection points.)*
- **inflection point(s):**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07bee885-b193-43d8-ac2a-8488a7e88bc2%2F8fef7162-a79e-4921-a562-f9d7e05c7905%2Fhplzzcc_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine the intervals on which the function is concave up or down.**
\[ w(t) = \frac{t^4 - 1}{t} + 4 \]
*(Give your answer as an interval in the form \((\ast, \ast)\). Use the symbol \(\infty\) for infinity, \(\cup\) for combining intervals, and an appropriate type of parenthesis "\((\)", "\()"\), "\([\)", "\()"\)" depending on whether the interval is open or closed. Enter \(\emptyset\) if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)*
- **\( w \) is concave up on**
- **\( w \) is concave down on**
---
**Find the point(s) of inflection.**
*(Give your answer as a comma-separated list of points in the form \((\ast, \ast)\). Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no inflection points.)*
- **inflection point(s):**
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