Friday

November 28, 2014

November 28, 2014

Posted by **ronan** on Saturday, September 30, 2006 at 5:34am.

decide whether f(x) has

a)one symptote and two discontinuities

b)two asymptotes and two discontinuities

c)two asymptotes and one discontinuity

I'm not sure if you mean 1/(x-1) or (1/x) - 1 here, but I'll assume you mean the second one.

You should be able to see that 1/x has one discontinuity and two asymptote, the two axis. When we subtract 1 from it to get 1/x -1, all we've done is shift the function down 1 unit, but it still has similar behavior.

Defining the function to be 0 at x-0 does not make f(x) continuous there; 0 is not a removable discontinuity for 1/x.

**Answer this Question**

**Related Questions**

calculus please help! - Which of the following functions f has a removable ...

infinite discontinuity - How do check the graph of a function has an infinite ...

Pre Cal - which of the following best describes the behavior of thre function f(...

Calculus (Discontinuities) - Suppose, f(x) = { (x - 1)^2 / x + 1 if x < 2 (x^...

Calculus - #1 - Suppose g(x)={1/x+1 if x<1 {2x-1 if x≥1 The best ...

Calculus - #4 - Suppose g(x)={1/(x-2) if x<1 {2x-4 if x≥1 The best ...

Calculus - #3 - Suppose g(x)={1/(x-2) if x<1 {2x-3 if x≥1 The best ...

Calculus - Suppose g(x) = { 1 / (x - 2) if x < 1 2x - 4 if x >/= 1 The ...

calculus - give an example of a function that has: a) only one point of ...

Math - PreCalc (12th Grade) - What does this function show at x = 5? f(x)=x^2&#...