# Functions + Piecewise

• Jul 1st 2010, 03:50 AM
reiward
Functions + Piecewise
Help me please. Find the domain for the first two. Then find the domain range and the f(x) of the piecewise function.

http://img195.imageshack.us/img195/7416/math1111.jpg
• Jul 1st 2010, 03:52 AM
Prove It
1. Hint: Everything under the square root must be \$\displaystyle \geq 0\$.

2. Hint: You can't have a zero denominator.

3. Your domain and range are right, assuming that the endpoints are not holes (I can't really see when the pic is so small).

You should be able to find the equations of the four lines which make the function.
• Jul 1st 2010, 04:13 AM
reiward
thanks. here's what I did to the f(x)
http://img33.imageshack.us/img33/1879/math11111.jpg
• Jul 4th 2010, 04:14 AM
HallsofIvy
Prove it said four lines.

You need linear formulas for \$\displaystyle x\le 0\$, \$\displaystyle 0< x\le 1\$, \$\displaystyle 1< x\le 2\$, and \$\displaystyle x> 3\$. You are missing the middle two. What is the equation of the line through (0, 0) and (1, 2)? what is the equation of the line through (1,2) and (2, 1)?