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2. Sketch the graph of the piecewise defined function x² for x < 0 for x = 0 -3 -2x + 3 for x > 0 Evaluate f(5), f(0), f (-3). g(x) =

2. Sketch the graph of the piecewise defined function x² for x < 0 for x = 0 -3 -2x + 3 for x > 0 Evaluate f(5), f(0), f (-3). g(x) =

Calculus: Early Transcendentals
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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500-2.)-x-500x-2x² π- TR-C Ts (soox - 2x² - 3600-1004 = 2 ( 7(x) = 400x - 4x ². 71-500x-22.3600-100 x-2x² -3600 a. Determine the profit function. b. Find the break-even point(s). (500x - 28² π-400x4x²-3600 c. Find the value of x that maximized the revenue. Find the maximum revenue. b. π(x)=400x-4x²-3600 0-406x-4x2 T 3606 4x2-400x + 36000= 6 4(x² 100x +900) = ( (x-90)(x-10) = 6 x-10=6 X=10 Evaluate f(5), f(0), f (-3). 2x² X-90=0 x=90 2. Sketch the graph of the piecewise defined function g(x) = demand function pex)-500-2x C.R(x)+(500-2x). x. 500x-2x² R'(x): d/dx (600x-2*²)=500-4× Setting R'(x) equal to zero and 500-4x30 4x=566 X=125->Critical point R(125): 500 125-2-125² 31250=31250 31,250 x² for x < 0 -3 for x = 0 -2x + 3 for x > 0
Transcribed Image Text:500-2.)-x-500x-2x² π- TR-C Ts (soox - 2x² - 3600-1004 = 2 ( 7(x) = 400x - 4x ². 71-500x-22.3600-100 x-2x² -3600 a. Determine the profit function. b. Find the break-even point(s). (500x - 28² π-400x4x²-3600 c. Find the value of x that maximized the revenue. Find the maximum revenue. b. π(x)=400x-4x²-3600 0-406x-4x2 T 3606 4x2-400x + 36000= 6 4(x² 100x +900) = ( (x-90)(x-10) = 6 x-10=6 X=10 Evaluate f(5), f(0), f (-3). 2x² X-90=0 x=90 2. Sketch the graph of the piecewise defined function g(x) = demand function pex)-500-2x C.R(x)+(500-2x). x. 500x-2x² R'(x): d/dx (600x-2*²)=500-4× Setting R'(x) equal to zero and 500-4x30 4x=566 X=125->Critical point R(125): 500 125-2-125² 31250=31250 31,250 x² for x < 0 -3 for x = 0 -2x + 3 for x > 0
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