P08 - Project 8 MAC 2311 Consider the following piecewise...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Project 8 MAC 2311 Consider the following piecewise deﬁned function for various choices of the numbers p and q . −p x < −1 x 2 x = −1 f (x) = 2−x −1 < x < 2 √ x+q x≥2 1. Sketch the graph of f (x) below with the choices p = 1 and q = 1. Determine whether f (x) is continuous from the right, left, both, or neither at x = −1, x = 0, and x = 2. Classify each discontinuity as inﬁnite, jump, or removable. 1 2. For what choices of p and q do the limits x→−1 lim f (x) and lim f (x) both x →2 exist? Do these choices make f (x) continuous? Why or why not? Sketch the graph of f (x) below with these choices of p and q . If the function f (x) is still not continuous at some point, can it be redeﬁned to make it continuous at that point, without altering the behavior of f (x) near the point? If so, how? What do we call this type of discontinuity? 2 ...
View Full Document

This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

Page1 / 2

P08 - Project 8 MAC 2311 Consider the following piecewise...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online