(i) Discuss the continuity of the function f(x)= x^2-3x if x<2 2x+4 if x ≥ 2 on the open interval 0 < x < 2 and on the closed interval 0 ≤ x ≤ 2. (ii) An efficiency study of the morning shift at a factory indicates that an average worker arriving on the job at 7:00am will have assembled f(x)= x^3+6x^2+15x units x hours later. approximately how many units will the worker assemble between 8:00 and 8:15am?

(i) Discuss the continuity of the function f(x)= x^2-3x if x<2 2x+4 if x ≥ 2 on the open interval 0 < x < 2 and on the closed interval 0 ≤ x ≤ 2. (ii) An efficiency study of the morning shift at a factory indicates that an average worker arriving on the job at 7:00am will have assembled f(x)= x^3+6x^2+15x units x hours later. approximately how many units will the worker assemble between 8:00 and 8:15am?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

See similar textbooks

Similar questions

What does it mean to say that f(4) is a local maximum valueof f ?
What is the purpose of the Intermediate Value Theorem?
Discuss the continuity of the function f(x) = {x2 − 3x if x < 2 2x + 4 if x ≥ 2 ontheopeninterval0< x<2andontheclosedinterval0≤x≤2.
16) The absolute minimum value of f(x) = (x3/3) - ( 5x2/2) - 6x on [-1,3] is?
Find any local maximum & local minimum of f(x)=-0.4x3-0.6x2+3x-4 on the interval (-6,4)
Investigate the connections between key properties such as increasing/decreasing intervals, local maxima and local minima, points of inflection and intervals of concavity of the functions: f(x)= x3+ 2 x2 - 3x and the graphs of their first and second derivatives.
Discuss the continuity of the function f(x) = {x2 − 3x if x < 2 2x + 4 if x ≥ 2 on the open interval 0 < x < 2 and on the closed interval 0 ≤ x ≤ 2
(i) Discuss the continuity of the function f(x) = {x2 − 3x if x < 2 2x + 4 if x ≥ 2ontheopeninterval0< x<2andontheclosedinterval0≤x≤2.(ii) Anefficiencystudyofthemorningshiftatacertainfactoryindicatesthatanaverage worker arriving on the job at 7: 00 A. M. will have assembled f (x) = x3 + 6x2 + 15x units x hours later. Approximately how many units will the worker assemble between8:00and8:15A.M.?(iii) A manufacturer’s total cost is C(q) = 0.1q3 + 0.5q2 + 500q + 200dollars when the level of production is q units.The current level of production is 4 units, and the manufacturer is planning to increase this to 4.1 units. Estimate how the total cost will change as a result.
determine the points of discountinuty of the function f(x)=(-x)2 andnature of discountunuity at each of those points when x is less than or equal to 0 , 4-5x
Sketch the graph of a function on the interval [3,9] that has an absolutemaximum at x=5 and an absolute minimum at x=4.
The sum of all the critical numbers of the function f(x) = x4 - 10x2 is what?
Suppose that f ‘(x) is negative for x < 1 and positive for x > 1. Does f have a local minimum or maximum value at x = 1?