Thursday

October 23, 2014

October 23, 2014

Posted by **Jamie** on Tuesday, February 8, 2011 at 9:57am.

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 12:28pm1. 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.

**Answer this Question**

**Related Questions**

math - 1. find the values of s for which each function is continous: f(x) = [ x ...

calculus - Let f be defined as follows: h(x)= -x-3 for x greater than or equal ...

Calculus - Find the values of x for which each function is continous: f(x) = x^3...

calculus - Consider the function f(x)=65x−cos(x)+2 on the interval 0 less ...

Calculus - Consider the function f(x)=6x-cos(x)+5 on the interval 0 is less than...

Calculus c - Let f be a twice-differentiable function defined on the interval -1...

Maths - If Q(x)=x^2 for x less than or equal to 1 =ax+b for 1<x<2 = x^2-5 ...

Calculus - Let f be a twice-differentiable function defined on the interval -1.2...

Calculus - sketch the graph of a function f that is continous everywhere except ...

Calculus - Find the constants a and b such that the function is continuous on ...