Consider the equation (x - 7)(x + 4)(x - 2)(3x + 1) > 56. Plot this function and solve the inequality graphically. Feel free to use graphing software such as Desmos. Be sure to attach your graph. Consider the function f(x) = 4(x - 2)2- 10, for what value(s) of x is f(x) > 5? Keep your answer in exact radical form. Provide an example of a polynomial function that has an average rate of change of -3 from x1= 2 to x2= 6 and an instantaneous rate of change of -3 at x = 10. In your own words, describe the difference between the average rate of change and the instantaneous rate of change of a function. In both cases, state the formula that is used to perform the calculation, and provide an example of each calculation.

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Answered: Consider the equation (x - 7)(x + 4)(x…

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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Consider the equation (x - 7)(x + 4)(x - 2)(3x + 1) > 56. Plot this function and solve the inequality graphically. Feel free to use graphing software such as Desmos. Be sure to attach your graph.

Consider the function f(x) = 4(x - 2)²- 10, for what value(s) of x is f(x) > 5? Keep your answer in exact radical form.

Provide an example of a polynomial function that has an average rate of change of -3 from x₁= 2 to x₂= 6 and an instantaneous rate of change of -3 at x = 10.

In your own words, describe the difference between the average rate of change and the instantaneous rate of change of a function. In both cases, state the formula that is used to perform the calculation, and provide an example of each calculation.

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