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).

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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