For each of the following, you may either give an explicit formula for a func- tion, draw a picture of a function, or say why such a function does not exist. (a) A function that is continuous at a point x = a but is not differentiable at x = a. (b) A function that has a critical number x = a but no local extrema at x = a. (c) A function that has a limit at x = a but is not continuous at x = a.

For each of the following, you may either give an explicit formula for a func- tion, draw a picture of a function, or say why such a function does not exist. (a) A function that is continuous at a point x = a but is not differentiable at x = a. (b) A function that has a critical number x = a but no local extrema at x = a. (c) A function that has a limit at x = a but is not continuous at x = a.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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