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6 Evaluate f (-3), ƒ(0) and f(2) for th sketch the graph of the domain. x +2 if x<0 (a) f(x) = x -1 if x > 0 (b) f(

6 Evaluate f (-3), ƒ(0) and f(2) for th sketch the graph of the domain. x +2 if x<0 (a) f(x) = x -1 if x > 0 (b) f(

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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5. Find the domain and range and sketch the graph of the function h(x) = J4-x² . 2 ニ 6 Evaluate f (-3), ƒ(0) and f (2) for the piecewise defined function. Then sketch the graph of the domain. x +2 if x <0 x +1 if x <-1 (a) f (x ) = { f (x) = - x -1 if x > 0 (b) x? if x >-1 7. Determine whether f is even, odd or neither: S(x) = (b) S(x) - )= (e) (x) = (d) f (x) =x|x | %D %3D 三X x+1 4. x'+1 X +1 8. Determine whether f is increasing or decreasing or neither: (a) f(x) =-x +1 (b) ƒ (x ) = x² -1 %D | Dr. Shaban El-Shehawy Page 12
Transcribed Image Text:5. Find the domain and range and sketch the graph of the function h(x) = J4-x² . 2 ニ 6 Evaluate f (-3), ƒ(0) and f (2) for the piecewise defined function. Then sketch the graph of the domain. x +2 if x <0 x +1 if x <-1 (a) f (x ) = { f (x) = - x -1 if x > 0 (b) x? if x >-1 7. Determine whether f is even, odd or neither: S(x) = (b) S(x) - )= (e) (x) = (d) f (x) =x|x | %D %3D 三X x+1 4. x'+1 X +1 8. Determine whether f is increasing or decreasing or neither: (a) f(x) =-x +1 (b) ƒ (x ) = x² -1 %D | Dr. Shaban El-Shehawy Page 12
(а) -2.5 (b) 10. Find f +g ,f -g ,f g and f/gand state their domains. (a) ƒ (x) =x³ +2x² , , g(x) = 3x² -1 (b) ƒ (x) = 3-x , g(x)=x²-1 g(x) = Jx² -1 %3D 11. Find the functions f °g , g of ,f of and gog and their domains. (a) f(x) = 3x +5, g(x) =x² +x %3D (b) ƒ (x) = /1+x , g(x)=4x -3 (c) f (x) = sin x, g(x)=x²+1 %3D 12. Express the function in the form f °g. F(x) = F(x ) = 3 1+x %3D %3D (a) F(x)=(2x +x² )ª (b) 1+x (c)
Transcribed Image Text:(а) -2.5 (b) 10. Find f +g ,f -g ,f g and f/gand state their domains. (a) ƒ (x) =x³ +2x² , , g(x) = 3x² -1 (b) ƒ (x) = 3-x , g(x)=x²-1 g(x) = Jx² -1 %3D 11. Find the functions f °g , g of ,f of and gog and their domains. (a) f(x) = 3x +5, g(x) =x² +x %3D (b) ƒ (x) = /1+x , g(x)=4x -3 (c) f (x) = sin x, g(x)=x²+1 %3D 12. Express the function in the form f °g. F(x) = F(x ) = 3 1+x %3D %3D (a) F(x)=(2x +x² )ª (b) 1+x (c)
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