Determine the intervals on which the function is concave up or down and find the value at which the inflection point occurs. y = 8x – 3x4 - (Express intervals in interval notation. Use symbols and fractions where needed.) 9. point of inflection at x = 40 interval on which function is concave up:
Determine the intervals on which the function is concave up or down and find the value at which the inflection point occurs. y = 8x – 3x4 - (Express intervals in interval notation. Use symbols and fractions where needed.) 9. point of inflection at x = 40 interval on which function is concave up:
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 and find the value at which the inflection point occurs.**
Given function: \( y = 8x^5 - 3x^4 \)
*(Express intervals in interval notation. Use symbols and fractions where needed.)*
1. Point of inflection at \( x = \frac{9}{40} \)
2. Interval on which the function is **concave up**: [Input field]
3. Interval on which the function is **concave down**: [Input field]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bd5995a-c4b2-468d-a13c-4876a73e2cf6%2F811debf5-e43f-4f3d-807b-6b11b48a4530%2Fwwfxfoa_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine the intervals on which the function is concave up or down and find the value at which the inflection point occurs.**
Given function: \( y = 8x^5 - 3x^4 \)
*(Express intervals in interval notation. Use symbols and fractions where needed.)*
1. Point of inflection at \( x = \frac{9}{40} \)
2. Interval on which the function is **concave up**: [Input field]
3. Interval on which the function is **concave down**: [Input field]
![Determine the intervals on which the function is concave up or down and find the points of inflection.
\( f(x) = 6x^3 - 11x^2 + 7 \)
(Give your answer as a comma-separated list of points in the form (*, *). Express numbers in exact form. Use symbolic notation and fractions where needed.)
**Points of inflection:**
[Input box]
---
Determine the interval on which \( f \) is concave up.
(Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter ∅ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
\( x \in \)
[Input box]
---
Determine the interval on which \( f \) is concave down.
(Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter ∅ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
\( x \in \)
[Input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bd5995a-c4b2-468d-a13c-4876a73e2cf6%2F811debf5-e43f-4f3d-807b-6b11b48a4530%2Fn2lvcmr_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the intervals on which the function is concave up or down and find the points of inflection.
\( f(x) = 6x^3 - 11x^2 + 7 \)
(Give your answer as a comma-separated list of points in the form (*, *). Express numbers in exact form. Use symbolic notation and fractions where needed.)
**Points of inflection:**
[Input box]
---
Determine the interval on which \( f \) is concave up.
(Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter ∅ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
\( x \in \)
[Input box]
---
Determine the interval on which \( f \) is concave down.
(Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter ∅ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
\( x \in \)
[Input box]
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