these were the answers i got and its wrong can you please explain this problem step by step Determine the intervals on which the function is concave up or down and find the points of inflection.f(x) = 6x³5x² +4(Give your answer as a comma-separated list of points in the form (*, *). Express numbers in exact form. Use symbolicnotation and fractions where needed.)points of inflection: 12IncorrectDetermine the interval on which f is concave up.(Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriatetype of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Expressnumbers in exact form. Use symbolic notation and fractions where needed.)XEIncorrectQuestion Source: Rogawski 4e Calculus Early Transcendentals

The given function is .The objective is to find the concavity intervals of the function.

Determine the intervals on which the function is concave up or down and find the points of inflection. f(x) = 6x³ −5x² + 4 (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.)

Determine the intervals on which the function is concave up or down and find the points of inflection. f(x) = 6x³ −5x² + 4 (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.)

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

these were the answers i got and its wrong can you please explain this problem step by step

Determine the intervals on which the function is concave up or down and find the points of inflection.
f(x) = 6x³5x² +4
(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: 12
Incorrect
Determine the interval on which f is concave up.
(Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
XE
Incorrect
Question Source: Rogawski 4e Calculus Early Transcendentals

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Step 1: Given the information

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Step 2: Find the inflection point

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