9. For a function f(x) to be continuous at a point x = c, the following three conditions must hold: i. lim f(x) exists ii. f(c) exists iii. lim f(x) = f(c) The following function has discontinuities at x =-1, x = 1, and x 2. 3 2- -2 -3 a. For which of the three discontinuities (if any, maybe more than one) is the discontinuity because i (above) fails to hold? b. For which of the three discontinuities (if any, maybe more than one) is the discontinuity because ii (above) fails to hold? c. Which of the three discontinuities (if any, maybe more than one) are removable discontinuities that could be removed by redefining the function at the point of discontinuity? 3

9. For a function f(x) to be continuous at a point x = c, the following three conditions must hold: i. lim f(x) exists ii. f(c) exists iii. lim f(x) = f(c) The following function has discontinuities at x =-1, x = 1, and x 2. 3 2- -2 -3 a. For which of the three discontinuities (if any, maybe more than one) is the discontinuity because i (above) fails to hold? b. For which of the three discontinuities (if any, maybe more than one) is the discontinuity because ii (above) fails to hold? c. Which of the three discontinuities (if any, maybe more than one) are removable discontinuities that could be removed by redefining the function at the point of discontinuity? 3

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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