Posted by **Derrick** on Friday, September 16, 2011 at 3:17pm.

For what values of a and b that make the function f continuous everywhere.

f(x)={(x^2-4)/(x-2) if x<2

ax^2-bx-18 if 2<x<3

10x-a+b if x>3

- calculus -
**MathMate**, Friday, September 16, 2011 at 4:31pm
There are three segments of functions, and two possibly discontinuous points, at x=2 and x=3.

Equate the adjacent segments to find the value of a and b that make the segments have the same values at x=2 and x=3.

Finally, check that the limits approaching from each side (2- and 2+, 3- and 3+) of the combined function are identical. They should be if the function is continuous.

## Answer This Question

## Related Questions

- calculus - For what values of a and b that make the function f continuous ...
- Calculus - Determine the values of x for which the function is continuous: f(x...
- calculus - Find the values of a and b that make f continuous everywhere. (Enter ...
- calculus - A function f(x) is said to have a removable discontinuity at x=a if: ...
- calculus - Find the values of a and b that make f continuous everywhere. (Enter ...
- Calculus - The function f(x)=(x^4)-(10x^3)+(18x^2)-8 is continuous on the closed...
- calculus - Determine values of a and b that make the given function continuous...
- Math - Determine the values of x for which the function is continuous: f(x)= 10x...
- Calculus - Let If f(x) is a function which is continuous everywhere, then we ...
- calculus HELP - Find the values of a and b that make f continuous everywhere. f(...

More Related Questions