Answer letters a-b given the following functions for f(x): tan-' (tanh x) if x <0 f(x) = 1- log (18x + 10) if 0 < x < 5 if x > 5 4 Note: [[ ]] indicates this is the Greatest Integer Function (GIF) (a) Given the following functions, discuss the continuity of f at x = 0 and x = 5 by verifying all conditions. If discontinuous, classify the type of discontinuity as removable, jump essential or infinite essential. (b) Determine whether f is differentiable at x = 0.
Answer letters a-b given the following functions for f(x): tan-' (tanh x) if x <0 f(x) = 1- log (18x + 10) if 0 < x < 5 if x > 5 4 Note: [[ ]] indicates this is the Greatest Integer Function (GIF) (a) Given the following functions, discuss the continuity of f at x = 0 and x = 5 by verifying all conditions. If discontinuous, classify the type of discontinuity as removable, jump essential or infinite essential. (b) Determine whether f is differentiable at x = 0.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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![Answer letters a-b given the following functions for f(x):
tan-1 (tanh x)
if x < 0
f(x) =
1- log (18x + 10) if 0 < x < 5
if x > 5
4
Note: [[ ]] indicates this is the Greatest Integer Function (GIF)
(a) Given the following functions, discuss the continuity of f at x = 0 and x = 5 by
verifying all conditions. If discontinuous, classify the type of discontinuity as
removable, jump essential or infinite essential.
(b) Determine whether f is differentiable at x = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e9f5a4e-733b-4ef8-89d9-ff335bcd5624%2F22cc4550-2118-4a48-96a9-959692f1cf5b%2F42m7rq9_processed.png&w=3840&q=75)
Transcribed Image Text:Answer letters a-b given the following functions for f(x):
tan-1 (tanh x)
if x < 0
f(x) =
1- log (18x + 10) if 0 < x < 5
if x > 5
4
Note: [[ ]] indicates this is the Greatest Integer Function (GIF)
(a) Given the following functions, discuss the continuity of f at x = 0 and x = 5 by
verifying all conditions. If discontinuous, classify the type of discontinuity as
removable, jump essential or infinite essential.
(b) Determine whether f is differentiable at x = 0.
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