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]

[2x-1 if x greater than 1]

2. determine all values of x at which the function is discontinuous:

f(x) = (x^2-2x)/(x^2-3x+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*1-1=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.

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