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...
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e87307a-7be8-407c-b410-ab35823c36f1%2Fa6d7658d-6242-44c3-9a98-9b9d281de233%2F4gad9h7_processed.jpeg&w=3840&q=75)
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e87307a-7be8-407c-b410-ab35823c36f1%2Fa6d7658d-6242-44c3-9a98-9b9d281de233%2Frd7zvxx.jpeg&w=3840&q=75)
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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