Thread: Piecewise Defined Function

Evaluate the following piecewise defined function.

f(x) = {x^2 - 1...if x < 2
.........{2 - x.......if x>or=to2

Originally Posted by magentarita

Evaluate the following piecewise defined function.

f(x) = {x^2 - 1...if x < 2
.........{2 - x.......if x>or=to2

I'm not sure what " x>or=to2 " is? Also, where do you want to evaluate this function?

Originally Posted by danny arrigo

I'm not sure what " x>or=to2 " is?

She probably meant

Also, where do you want to evaluate this function?

We're on the same boat.

Originally Posted by Chop Suey

She probably meant


We're on the same boat.

Of course, I should of just look at it "x > or = 2". That's

Originally Posted by magentarita

Evaluate the following piecewise defined function.

f(x) = {x^2 - 1...if x < 2
.........{2 - x.......if x>or=to2

I guess you just mean to graph the two functions with their respective restricted domains.



Make a table for each function and then graph them. (if not using a graphing calculator)

Code:

x | f(x)=x^2 -1
------------------
2 | 3 (not included in graph since x < 2)
1 | 0
0 | -1
-1| 0
-2| 3

Code:

x | f(x)=2 - x
------------------
2 | 0 (included in graph since x >= 2)
3 | -1
4 | -2
5 | -3

See my crude graph.

Originally Posted by masters

I guess you just mean to graph the two functions with their respective restricted domains.



Make a table for each function and then graph them. (if not using a graphing calculator)

Code:

 
x | f(x)=x^2 -1
------------------
2 | 3 (not included in graph since x < 2)
1 | 0
0 | -1
-1| 0
-2| 3

Code:

x | f(x)=2 - x
------------------
2 | 0 (included in graph since x >= 2)
3 | -1
4 | -2
5 | -3

See my crude graph.

Nicely done and great graph!