Hi, so I just need help explaining why part 2 is yes. thank you. MAT-225-X4467 21EW4 Calc I: Single-Variable CalcModule Three3-1 Module Three Discussion: Continuity and Differentiability3-1 Module Three Discussion: Continuity and DifferentiabilityRemaining Time: Unlimited{Module Three Discussionx + 13if x < 8Analyze the function f (x) =V8 x +9 if x> 8Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing.Part 1: Is f (x) continuous at x = 8? Explain why or why not in your Discussion postO YesO NoHint: In order for f (x) to be continuous at x = 8, the limits of f (x) from the left and from the right must both exist and be equal to f (8).Part 2: Is f(x) differentiable at x = 8? Explain why or why not in your Discussion post.O YesO NoHint: Similarly to continuity, in order for f (x) to be differentiable at x = 8, f (x) must be continuous at x =8 and the limits of the difference quotientf(8+h)-f(8)from the left and from the right must both exist and be equal to each other.

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Description: Hi, so I just need help explaining why part 2 is yes. thank you. MAT-225-X4467 21EW4 Calc I: Single-Variable CalcModule Three3-1 Module Three Discussion: Continuity and Differentiability3-1 Module Three Discussion: Continuity and DifferentiabilityRem

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+13 if z<8 V8 a +9 if r 2 8 Analyze the function f (x) = Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing. Part 1: Is f (x) continuous at z = 8? Explain why or why not in your Discussion post

+13 if z<8 V8 a +9 if r 2 8 Analyze the function f (x) = Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing. Part 1: Is f (x) continuous at z = 8? Explain why or why not in your Discussion post

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Functions

Section9.1: Relations And Functions

Problem 75PS

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Hi, so I just need help explaining why part 2 is yes. thank you.

MAT-225-X4467 21EW4 Calc I: Single-Variable Calc
Module Three
3-1 Module Three Discussion: Continuity and Differentiability
3-1 Module Three Discussion: Continuity and Differentiability
Remaining Time: Unlimited
{
Module Three Discussion
x + 13
if x < 8
Analyze the function f (x) =
V8 x +9 if x> 8
Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing.
Part 1: Is f (x) continuous at x = 8? Explain why or why not in your Discussion post
O Yes
O No
Hint: In order for f (x) to be continuous at x = 8, the limits of f (x) from the left and from the right must both exist and be equal to f (8).
Part 2: Is f(x) differentiable at x = 8? Explain why or why not in your Discussion post.
O Yes
O No
Hint: Similarly to continuity, in order for f (x) to be differentiable at x = 8, f (x) must be continuous at x =8 and the limits of the difference quotient
f(8+h)-f(8)
from the left and from the right must both exist and be equal to each other.

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