Mathematics for the Life Sciences by Erin N. Bodine & Erin N. Bodine & Suzanne Lenhart & Suzanne Lenhart & Louis J. Gross & Louis J. Gross

Author:Erin N. Bodine & Erin N. Bodine & Suzanne Lenhart & Suzanne Lenhart & Louis J. Gross & Louis J. Gross [Bodine, Erin N.]
Language: eng
Format: epub
Publisher: Princeton University Press
Published: 2014-08-17T00:00:00+00:00

Example 16.3 (Continuous Function?)

* * *

Where is the function continuous?

Solution: Notice that

So, this function looks like the line y = x + 1, except that it is not defined at the point x = 2 (See Figure 16.3). We know that a line is a polynomial of degree 1 and that polynomials are continuous everywhere on the real line. So, this function is continuous everywhere but at the point of discontinuity (x = 2). We write f(x) is continuous on (−∞, 2) ∪ (2, ∞). We say that f has a removable discontinuity at x = 2.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.