I need to make sure for the answer 6,8,10,12Please 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. Thensketch the graph of the domain.x +2 if x <0x +1 if x <-1(a)f (x ) = {f (x) = -x -1 if x > 0(b)x? if x >-17. Determine whether f is even, odd or neither:S(x) = (b) S(x) -)= (e) (x) = (d) f (x) =x|x |%D%3D三Xx+14.x'+1X +18. Determine whether f is increasing or decreasing or neither:(a) f(x) =-x +1(b) ƒ (x ) = x² -1%D|Dr. Shaban El-ShehawyPage 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)=x²-1g(x) = Jx² -1%3D11. 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%3D12. Express the function in the form f °g.F(x) =F(x ) = 31+x%3D%3D(a) F(x)=(2x +x² )ª(b)1+x (c)

As per our guideline we are supposed to answer only first question of a multiple type questions.…

Answered: 6 Evaluate f (-3), ƒ(0) and f(2) for th…

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Calculus

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(

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 36E

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Question

I need to make sure for the answer

6,8,10,12

Please

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)

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