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

consider the function f(x) = 1/x - 1 for x not=0 and f(x) = 0 for x = 0.

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

- limitas, asymptotes and discontinuities?? - f(x) = 1/(x^2-x-2) does f(x) have ...
- Pre Cal - which of the following best describes the behavior of thre function f(...
- Pre-Cal - use a graphing calculator to obtain the graph of the function. What ...
- Calculus (Discontinuities) - Suppose, f(x) = { (x - 1)^2 / x + 1 if x < 2 (x^...
- Math - asymptotes - Identify all asymptotes. 1. y= 1 / 2-√x^2 - 3x the ...
- Pre-Cal - use a graphing calculator to obtain the graph of the function. What do...
- AP Calculus - Consider the function f(x)= abs(x)(x-3)/9-x^2 a) what is the ...
- trig - I need to state the period and 2 consecutive asymptotes on the graph for ...
- TRIG - I need to state the period and 2 consecutive asymptotes on the graph for ...
- Math - Domain and Asymptotes - Given the following rational function: f(x) = (x^...