Posted by Jamie on Tuesday, February 8, 2011 at 9:57am.
1. find the values of s for which each function is continous:
f(x) = [ x if x less than or equal to 1]
[2x1 if x greater than 1]
2. determine all values of x at which the function is discontinuous:
f(x) = (x^22x)/(x^23x+2)
Could someone please tell me how to do these problems I'm lost.

Calculus  continuity  Anonymous, Tuesday, February 8, 2011 at 12:28pm
1. f(x) as defined is continuous on (∞,+∞). The only check you need to do to be sure is at x=1.
f(1)=1
f(1+)=2*11=1
So f(x) is continuous also at x=1.
2.
For discontinuity of a rational function, look for values of x which render the denominator zero.
You can do this by factorization.
Answer This Question
Related Questions
 math  1. find the values of s for which each function is continous: f(x) = [ x ...
 Maths  If Q(x)=x^2 for x less than or equal to 1 =ax+b for 1<x<2 = x^25 ...
 calculus  Let f be defined as follows: h(x)= x3 for x greater than or equal ...
 math  7. The tennis team is selling key chains as a fundraiser. If its goal is ...
 Calculus  Functions?  #1. A cubic polynomial function f is defined by f(x) = ...
 Calculus  Find the values of x for which each function is continous: f(x) = x^3...
 Calculus c  Let f be a twicedifferentiable function defined on the interval 1...
 Calculus  f(x)=x^n , where n is a positive integer greater or equal to 2. The ...
 Objective functon  An objective function and a system of linear inequalities ...
 Calculus  Let f be a twicedifferentiable function defined on the interval 1.2...
More Related Questions