English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

f(x) {x^2 - 1 if x < 1
f(x){4 - x if x > or = 1

does this equations have removable, jump or infinite discontinuity

2007-01-07 08:34:32 · 3 answers · asked by Blesson 2 in Science & Mathematics Mathematics

3 answers

Looks like a jump.

At just before X = 1, the first equation goes to 0.
At 1 and just after, the 2nd equation is at 3, heading down.

2007-01-07 08:43:49 · answer #1 · answered by TankAnswer 4 · 0 0

It has a jump discontinuity at x= 1. The x^2-1 is a parabola that crosses th x-axis at -1 has a minimum of -1 at x= 0 then heads back up anstops ust short o x = 1. then th functi jumps up to (1,3) and then travels downward through the point (4,0).

2007-01-07 17:04:29 · answer #2 · answered by ironduke8159 7 · 0 0

The left limit of f(x), which is 0, at x=1 is not equal to the right limit which is 3. Therefore, you have a jump disontinuity.

2007-01-07 16:43:30 · answer #3 · answered by sahsjing 7 · 0 0

fedest.com, questions and answers