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I. Sketch the graph of a function and determine its domain and range. 1. {x? +y? = 8} 2. Н(х) %3D 16 — х]

I. Sketch the graph of a function and determine its domain and range. 1. {x? +y? = 8} 2. Н(х) %3D 16 — х]

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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I. Sketch the graph of a function and determine its domain and range. 1. {x? +y? = 8} 2. H (x) = 16 -x| 3. g(x) = (x²-4)(x-3) x2-x-6 4. f(x) = {- 5 -14 if if if x<-2 - 25r<2 x > 2 5. F (x) = {x² -4 2x 1 if if x<3 x23 %3D II. Solve the following 1. Sketch the graph of the unit step function, denoted by Uand defined by U (x) = {0 1 if if x<0 0sx 2. Define each of the following functions piecewise and sketch their graphs where U is the unit step function in Exercise II number 1. (a) x-U (x) (b) (x + 1) U (r+ 1) (c) (x+ 1) ·U (x +) – x.U (x)
Transcribed Image Text:I. Sketch the graph of a function and determine its domain and range. 1. {x? +y? = 8} 2. H (x) = 16 -x| 3. g(x) = (x²-4)(x-3) x2-x-6 4. f(x) = {- 5 -14 if if if x<-2 - 25r<2 x > 2 5. F (x) = {x² -4 2x 1 if if x<3 x23 %3D II. Solve the following 1. Sketch the graph of the unit step function, denoted by Uand defined by U (x) = {0 1 if if x<0 0sx 2. Define each of the following functions piecewise and sketch their graphs where U is the unit step function in Exercise II number 1. (a) x-U (x) (b) (x + 1) U (r+ 1) (c) (x+ 1) ·U (x +) – x.U (x)
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