x+1Is the function f(x) -X2*Xく2; X = 22メー1continuous at x= 2? Why or why not?Show solution.

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Answered: x+1 Is the function f(x) - X2 *Xく2 ;ン2…

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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Toy's company has a factory that produces toy trucks and toy cars. The totalnumber of toys the factory has to produce over a certain period of time is 300.An analysis reveals that• the production time (in seconds) to produce x number of trucks is given by a functionTtruck(x) = (1/100)x3 + 100.• the production time (in seconds) to produce x number of cars is given by a functionTcar(x) = x2 + 90.(a) How many toy trucks and toy cars should the factory produce to minimize the totalproduction time?(b) The company is selling each toy truck for 2500 cents and each toy car for 2000 cents.The production cost of trucks and cars is 1 cent per second of production time (= costs Tcar(x) cents to produce x cars).How many toy trucks and toy cars should the factory produce to maximize the profit?
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The graph of function f(x) = 5x – 7x² – 8 is concave downward on 30 O (- | 7 (-∞, ) 30 None
Use the graph to estimate the open intervals on which the function is increasing or decreasing. (Enter your answer using interval notation). f(x) = x^3/2 - 6x Note: x^3/2 is a whole function. The 6x is next to the x^3/2 function, not with it. This means 6x is subtracted from the whole function of x^3/2 Increasing =? Decreasing =?
Let f(x) = x+1 x+9 f-¹(-7)= Question Help: Message instructor > Next Question
Evaluate f(1.7) if f(x)= x^2 x<-2 8 -2</=x < 5 -3x+2 x>/= 5
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The point 2 is in the range of the function given by f(x, y) = True False 2x²

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x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.