Sunday

April 20, 2014

April 20, 2014

Posted by **Lindsay** on Tuesday, August 20, 2013 at 4:45pm.

f(x)= (x^2-x-12)/(x^2-6x+8)

I just don't understand how to find the intervals. Thanks~

- Math -
**Reiny**, Tuesday, August 20, 2013 at 9:51pmf(x)= (x^2-x-12)/(x^2-6x+8)

= (x-4)(x+3)/( (x-2)(x-4)

= (x+3)/(x-2) , x not= 4

So the function is discontinuous at x=4 and at x = 2

with a "hole" at (4, 7/2)

and a vertical asymptote at x = 2

So continuous for

x<2 OR x > 2, x not= 4

**Related Questions**

math - . Given the following function, f(x)=-x^2 -8x find: (a) vertex, (b) axis...

math-calc - Consider the function f(x)= (2x+8)/(6x+3). For this function there ...

algebra - Given the following function, find: (a) vertex (b) axis of symmetry (c...

math-calc - for x (-12, 10) the function f is defined: f(x)=x^7(x+2)^2 On which ...

Math - For x [–14,13] the function f is defined by f(x)=(x^3)(x+6)^4 On which ...

calculus - For x ∈ [−12, 10] the function f is defined by f(x) = x7(...

find the intervals - How to find the intervals on which the following function ...

Math advance functions gr 12 - use the asymptotes and intercepts to make a quick...

increasing and decreasing intervals - Have to find the intervals on which f(x...

Maths - Question – 1: The gradient of the graph of f(x) at any point is,ax^2-12x...