Sunday

April 20, 2014

April 20, 2014

Posted by **Mishaka** on Friday, October 14, 2011 at 8:08pm.

f(x) = { (x - 1)^2 / x + 1 if x < 2

(x^2 - 2x - 8)/(x - 4) if

2 </= x < 4

(1 / (x - 3)) + 5) if 4 </=

x

Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite, or jump discontinuities.

When I graphed this function on my calculator, I found that there was definitely a jump discontinuity at x=4. There is, as far as I can see, one more discontinuity at -1, it looks as though it might be an infinite discontinuity since it is a vertical asymptote. Is this correct?

- Calculus (Discontinuities) -
**Steve**, Saturday, October 15, 2011 at 12:43pmThat is correct. f(-1) = 4/0 which is infinite.

**Related Questions**

calculus - Find all discontinuities of the given function. Also, describe the ...

limitas, asymptotes and discontinuities?? - f(x) = 1/(x^2-x-2) does f(x) have ...

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

calculus - Locate the discontinuities of the function. y = 2/(1 + e^(1\/x))

Calculus - Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any points of ...

Calculus - Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any points of ...

calculus - find the x-values at which f is not continuous. which of the ...

calculus - find all discontinuities (16x/2x3-8x3=0)

calculus - Can anyone please explain to me that how can I find the ...

Calculus (Discontinuity) - Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any ...