Determine if the following functions grow faster, slower, or at the same rate as the function 5x² as x → ∞. b. x5-5x² f. 4* c. √√x +4x³ g. 4x³e-x a. 5x²+2x e. 4x In x a. The function 5x²+2x grows d. (x + 5)² h. 6x² 5x² as x→ ∞o because lim x-00 5x²+2x

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Subject: algebra 

K
Determine if the following functions grow faster, slower, or at the same rate as the function 5x² as x→ ∞o.
a. 5x² + 2x
b. x5 - 5x²
f. 4*
c. √x^² + 4x³
C.
d. (x + 5)²
e. 4x In x
g. 4x³e-x
h. 6x²
a. The function 5x² + 2x grows
5x²
x-00 5x²+2x
5x² as x→ ∞o because lim
0
Transcribed Image Text:K Determine if the following functions grow faster, slower, or at the same rate as the function 5x² as x→ ∞o. a. 5x² + 2x b. x5 - 5x² f. 4* c. √x^² + 4x³ C. d. (x + 5)² e. 4x In x g. 4x³e-x h. 6x² a. The function 5x² + 2x grows 5x² x-00 5x²+2x 5x² as x→ ∞o because lim 0
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