2. f(x) = {² ² + 4* <²} x<2) (2x x 2) at x = 2. £(2) = (2)³ = 8 f(2)= 2(2) + 4 = 8

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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Can you please help with a step by step of how to solve problem 2?
Determine if the function is continuous at the given point.
1. f(x) = {x²= 2 x ≤0
x+ 2 x > 0
f(0) = 0²-2=-2
f(0) = 0+2 = 2
2. f(x) = {x² + 4x ≤ ²}
√x³
<
(2x 2)
at x = 0.
at x = 2.
f(2)= (2)³ = 8
f(2)= 2(2) + 4 = 8
xu
discontinuous
Continuous
Transcribed Image Text:Determine if the function is continuous at the given point. 1. f(x) = {x²= 2 x ≤0 x+ 2 x > 0 f(0) = 0²-2=-2 f(0) = 0+2 = 2 2. f(x) = {x² + 4x ≤ ²} √x³ < (2x 2) at x = 0. at x = 2. f(2)= (2)³ = 8 f(2)= 2(2) + 4 = 8 xu discontinuous Continuous
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