Calculus Quiz Today
posted by Jamie on .
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.

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.