Continuity of a function on an interval:Show your solution, graph (use GeoGebra) and identify if it is continuous or discontinuous.- 5h(x)(-1,4)х2 — х — 6

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Answered: Continuity of a function on an…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 4RE: Determine whether the function is increasing ordecreasing. g(x)=x+2

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Similar questions

Determine whether the function is increasing ordecreasing. g(x)=x+2
Population Growth and Decline The graph shows the population P in a small industrial city from 1950 to 2000. Thevariable x represents the number of year since 1950. (a) Determine the intervals on which the function P isincreasing and on which it is decreasing. (b) What as the maximum population, and in what yearwas it attained? (c) Find the net change in the population P from 1970 to 1990.
Magazine Circulation: The circulation C of a certain magazine as a function of time t is given by the formula C=5.20.1+0.3t Here C is measured in thousands, and t is measured in years since the beginning of 2006, when the magazine was started. a. Make a graph of C versus t covering the first 6 years of the magazines existence. b. Express using functional notation the circulation of the magazine 18 months after it was started, and then find that value. c. Over what time interval is the graph of C concave up? Explain your answer in practical terms. d. At what time was the circulation increasing the fastest?. e. Determine the limiting value for C. Explain your answer in practical terms.
Maximum and Minimum Find the maximum and minimum values of f(x)=x39x2+6 on the horizontal span of 0 to 10.
Average Rate of Change The graphs of the functions f and g are shown. The function _____ (f or g) has a greater average rate of change between x=0 and x=1 .The function (f or q) has a greater average rate of change between x=1 and x=2 .The functions f and q have the same average rate of change between x = ____ and x = __.
Minimizing a Distance When we seek a minimum or maximum value of a function, it is sometimes easier to work with a simpler function instead. Suppose g(x)=f(x) where f(x)0 for all x. Explain why the local minima and maxima of f and g occur at the same values of x. Let gx be the distance between the point 3,0 and the point (x,x2) on the graph of the parabola y=x2. Express g as a function of x. Find the minimum value of the function g that you found in part b. Use the principle described in part a to simplify your work.
Revenue A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x)=80x0.4x2, where the revenue R(x) is measured in dollars. What is the maximum revenue? and how many units should be manufactured to obtain this maximum?

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Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it is continuous or discontinuous. х — 5 h(x) (-1,4) х2 — х — 6