Nathan's blog

For the start of the new year, we went back to Algebra 2 with domain, range, and all that other good stuff. So, I will review chapter 4 section 1.

1. Polynomial - an equation with no variables in the denominator.
Domain is always (-infinity, infinity)
Range is (-infinity, infinity) if odd

2. Square roots
Domain: 1.) Set inside equal to 0 and solve for x.
2.) Set up a number line.
3.) Plug in numbers, use the non-negative intervals.
Range: (vertical shift, infinity)
*If √#-x^2 Range=(0,√#)

3. Fractions
Domain: 1.) Set bottom equal to 0, and solve for x.
2.) Set up intervals.
Range: 1.) Take limit as x > ∞
2.) Set up intervals.

Ex. 3/x-2
x-2=0
x=2
D: (-∞,2) u (2,∞)
R: lim/x>∞ 3/x-2=0
R: (-∞,0) u (0,∞)

That's all for this blog. I guess this helped.