Feroz's Blog

This week was a blur. I remember finding determinates but that takes a long time to do, especially on a computer. 3x3 might not, but 4x4 just kick my ass. So, since everyone else review things they thought were difficult on Aleks, I'll review something I find difficult as well.

Finding Domain and Range:

Polynomials - Domain (-infinity, infinity)
Range: (-infinity, infinity) if odd

Square Roots - Domain:

1. Set inside equal to 0, solve for x
2. Set up a number line
3. Plug in the numbers, use the non-negative intervals

Range: [Vertical shift, infinity)

Fractions - Domain:

1. Set bottom equal to 0, solve for x
2. Set up intervals

Range:

1. Take limit as x -> infinity
2. Set up intervals

Absolute value - Domain: (-infinity, infinity)
Range: [shift, infinity) or (-infinity, shift)

Ex. x^3 + 2x - 3

x - 3 = 0

x = 0

Domain: (-infinity, 3) u (3, infinity)
Range: [1, infinity)

Done.