**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]

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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. 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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Question

**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]

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