Posted by **Abigail** on Monday, February 7, 2011 at 12:51pm.

A function f(x) is said to have a removable discontinuity at x=a if:

1. f is either not defined or not continuous at x=a.

2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.

--------------------------------------------------------------------------------

Let f(x)=x^2+ 14x +51 if x is less than -7

f(x)= 1 if x=-7

f(x) = −x^2−14x−47 if x is greater than -7

Show that f(x) has a removable discontinuity at x=−7 and determine what value for f(−7) would make f(x) continuous at x=−7.

Must redefine f(−7)=.

Now for fun, try to graph f(x). It's just a couple of parabolas

## Answer This Question

## Related Questions

- Calculus - A function f(x) is said to have a removable discontinuity at x=a if: ...
- Calculus - A function f(x) is said to have a removable discontinuity at x=a if: ...
- Calculus - A function f(x) is said to have a removable discontinuity at x=a if: ...
- calculus - A function f(x) is said to have a removable discontinuity at x=a if: ...
- calculus please help! - Which of the following functions f has a removable ...
- Calculus - #2 - Suppose g(x)={x^2+2x+1/x+1 if x<1 {2x if x≥1 The best ...
- Calculus - #4 - Suppose g(x)={1/(x-2) if x<1 {2x-4 if x≥1 The best ...
- Calculus - #3 - Suppose g(x)={1/(x-2) if x<1 {2x-3 if x≥1 The best ...
- Calculus - Suppose g(x) = { 1 / (x - 2) if x < 1 2x - 4 if x >/= 1 The ...
- Calculus-Help Please - Find a function f(x), perhaps a piecewise function that ...

More Related Questions