8-2x ifx < 4 3. Given the function: g(x) = √x-4 ifx>4 (a) Find the limit of g(x) as x approaches the value "4" indicated below. To do this, compute a set of values of "x" and the corresponding g(x) where "x" takes on the values getting closer and closer to "4" from both sides of "4". (b) For the function g(x) given above, determine if g(x) is continuous at x = 4. (c) If discontinuous, state whether the discontinuity is removable or non-removable, and explain why. (d) At the point x=4, identify if there is a cusp or a corner (you can find the shapes online).
8-2x ifx < 4 3. Given the function: g(x) = √x-4 ifx>4 (a) Find the limit of g(x) as x approaches the value "4" indicated below. To do this, compute a set of values of "x" and the corresponding g(x) where "x" takes on the values getting closer and closer to "4" from both sides of "4". (b) For the function g(x) given above, determine if g(x) is continuous at x = 4. (c) If discontinuous, state whether the discontinuity is removable or non-removable, and explain why. (d) At the point x=4, identify if there is a cusp or a corner (you can find the shapes online).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:8-2x ifx < 4
3. Given the function: g(x):
x-4 if x > 4
(a) Find the limit of g(x) as x approaches the value "4" indicated below. To do this, compute a set of
values of "x" and the corresponding g(x) where "x" takes on the values getting closer and closer to "4"
from both sides of "4".
(b) For the function g(x) given above, determine if g(x) is continuous at x = 4.
(c) If discontinuous, state whether the discontinuity is removable or non-removable, and explain why.
(d) At the point x = 4, identify if there is a cusp or a corner (you can find the shapes online).
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