Find the limits as x →co and as x→ co. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise exist, enter DNE.) f(x) = 4x³-x4 lim f(x) x-00 lim f(x) X--00 Use this information, together with intercepts, to give a rough sketch of the graph as in this example. Уу x x x -4 -2 2 -4 -2 2 -2 2 4 4 -2 2 4 The xy-coordinate plane is given. The curve enters the window in the second quadrant, goes down and right, crosses the x-axis at x = -4, changes direction, goes up and right, becomes nearly horizontal at the origin, goes up and right, and exits the window in the first quadrant.
Find the limits as x →co and as x→ co. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise exist, enter DNE.) f(x) = 4x³-x4 lim f(x) x-00 lim f(x) X--00 Use this information, together with intercepts, to give a rough sketch of the graph as in this example. Уу x x x -4 -2 2 -4 -2 2 -2 2 4 4 -2 2 4 The xy-coordinate plane is given. The curve enters the window in the second quadrant, goes down and right, crosses the x-axis at x = -4, changes direction, goes up and right, becomes nearly horizontal at the origin, goes up and right, and exits the window in the first quadrant.
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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Transcribed Image Text:Find the limits as x →co and as x→ co. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise exist, enter DNE.)
f(x) = 4x³-x4
lim f(x)
x-00
lim f(x)
X--00
Use this information, together with intercepts, to give a rough sketch of the graph as in this example.
Уу
x
x
x
-4
-2
2
-4
-2
2
-2
2
4
4
-2
2
4
The xy-coordinate plane is given. The curve enters the window
in the second quadrant, goes down and right, crosses the x-axis
at x = -4, changes direction, goes up and right, becomes nearly
horizontal at the origin, goes up and right, and exits the window
in the first quadrant.
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