Determine the intervals on which the function is increasing

Assignment Help Mathematics

Reference no: EM131009473

1.Calculate the slope m of the line passing through the points (-4, 6) and (4, 1.8). For the function illustrated in this graph,

1351_Graph of the function.jpg

does there exist a number c in the interval I = (-4, 4) such that f'(c) is the slope m of the secant line passing through the points (-4, 6) and (4, 1.8)? Is your answer consistent with the statement of the Mean Value Theorem?

2. Determine the intervals on which the function is increasing and intervals on which the function is decreasing. Check your answers by graphing (grapher) the corresponding functions. Include copies of these graphs.

f(x) = (x - 1)³ - 2.

Reference no: EM131009473

Questions Cloud

What implications does this have for hiring and promotions : Given the emphasis on employee development, what implications does this have for hiring and promotions? How do you think, management feels about the new performance appraisal system? Why

Coefficient of determination and interpret the results : Find the (a) coefficient of determination and interpret the results, and (b) standard error of estimate s e and interpret the results.

The methods getsaleprice and getsaleweight : The program must include five methods: printSale, getSalePrice, getSaleWeight, calcTax, and calcShipping. The method printSale takes no input parameters and has a return type of void; it prints values by by calling the other four methods and computin..

What was the a priori probability : There were 20 subjects in each group. If we assume that the true means and standard deviations have been estimated exactly, what was the a priori probability (the probability before the experiment was conducted) that this study would find a signif..

Determine the intervals on which the function is increasing : Determine the intervals on which the function is increasing and intervals on which the function is decreasing. Check your answers by graphing (grapher) the corresponding functions. Include copies of these graphs.

Discuss the relevant theory behind these dilemmas : Ethics, Values, and Social Responsibility - Identify at least three ethical dilemmas that a leader must contend with in order to meet the values and code of ethics of an organization. Discuss the relevant theory behind these dilemmas

Can you express sympathy with someones negative situation : Can you express sympathy with someones negative situation without apologizing for the circumstances? Explain your answer - Is intentionally deemphasizing bad news the same as distorting graphs and charts to deemphasize unfavorable data?

How do they support party systems around which they arose : Compare and contrast single-member districts and proportional representation (PR). How effective is each electoral system in representing its people's interests? How do they support the party systems around which they arose

Prompts user to enter 7 elements : Write a java application that prompts user to enter 7 elements. The elements will be stored in an array list of type double. All elements entered should then be displayed on a separate line. The sum of the elements should also be shown in the end li..

User Account

All Pages