Could someone help me to graph this function please? =Analyze the function f(x) =1/1/x-{.x+174x +15if x < 4if x ≥ 4 For continuity, calculate f (4), the left hand limit lim12x→4-x + 17 the right hand limit lim √4x + 15x →4+f(x) ==f(x)-f(4)x-4For differentiability, you need to compute the left hand limit of√4x + 15 and see whether they are the same or not. You can use that both f(x) =functions and apply our rules for derivatives for these two functions (individually).with f(x) = 1 xf(x)-f(4)x-4x+17 and ƒ(x) = √4x +15 are differentiablex+17 and the right hand limit ofwith

Answered: Analyze the function f(x) = x+17 4x +15…

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Analyze the function f(x) = x+17 4x +15 if x < 4 if x ≥ 4

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter11: Rational And Irrational Numbers

Section: Chapter Questions

Problem 23CLR

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Question

Could someone help me to graph this function please?

=
Analyze the function f(x) =
1/1/x-
{.
x+17
4x +15
if x < 4
if x ≥ 4

For continuity, calculate f (4), the left hand limit lim
1
2
x→4-
x + 17 the right hand limit lim √4x + 15
x →4+
f(x) =
=
f(x)-f(4)
x-4
For differentiability, you need to compute the left hand limit of
√4x + 15 and see whether they are the same or not. You can use that both f(x) =
functions and apply our rules for derivatives for these two functions (individually).
with f(x) = 1 x
f(x)-f(4)
x-4
x+17 and ƒ(x) = √4x +15 are differentiable
x+17 and the right hand limit of
with

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Step 1: Given

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Step 2: Determining the continuity of the function

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Step 3: Determining the differentiability of the function

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Step 4: Graphing the function

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