Sketch the graphs of the functions. f(x) = x³+x² - 6x and g(x) = 0 O 2 4 6 8 X + # 8 -6 -4 4 X Find the area of the region completely enclosed by the graphs of the given functions f and g. square units y -2 y 4 27 6- 4 2 4 2 6 6

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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Sketch the graphs of the functions.
f(x) = x³ + x² − 6x and g(x) = 0
-
.6
+
y
-2
8
6
4
2
-6
8
6-
12-
-2-
£
9
2
4 6
X
X
8
PO
do
6
Y
N
8
6
2
2
-2
2
4
X
X
8
8
Find the area of the region completely enclosed by the graphs of the given functions f and g.
square units
Transcribed Image Text:Sketch the graphs of the functions. f(x) = x³ + x² − 6x and g(x) = 0 - .6 + y -2 8 6 4 2 -6 8 6- 12- -2- £ 9 2 4 6 X X 8 PO do 6 Y N 8 6 2 2 -2 2 4 X X 8 8 Find the area of the region completely enclosed by the graphs of the given functions f and g. square units
Sketch the graphs of the functions.
f(x) = 2x and g(x)=x√√x+1
-10
-10
G
10
y 5-
-10
5
X
-10
J
-10
-5
5
-5-
-10
хл
5
хол
y 5-
Ki f
5
-10
-5
5
10
X
-5-
-10-
10
х сл
Find the area of the region completely enclosed by the graphs of the given functions f and g. (Round your answer to two decimal places.)
4.98
X square units
Transcribed Image Text:Sketch the graphs of the functions. f(x) = 2x and g(x)=x√√x+1 -10 -10 G 10 y 5- -10 5 X -10 J -10 -5 5 -5- -10 хл 5 хол y 5- Ki f 5 -10 -5 5 10 X -5- -10- 10 х сл Find the area of the region completely enclosed by the graphs of the given functions f and g. (Round your answer to two decimal places.) 4.98 X square units
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