Feroz's Blog

Ehhhhh. So tired. Went to that Math lecture with Mary and all them. It was fairly interesting. Anyway, I'm gonna cover some stuff from Chapter 4. So yeah.

I copied these down in my notebook. They look important. I dunno.

1. Polynomials:

Domain: (-∞, ∞)
Range: (-∞, ∞)*

*This only applies to polynomials whose highest exponent is odd.

2. Square Roots

There are three steps to finding the domain.

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

Range: [vertical shift, infinity)

3. Fractions

Two steps for domain and range.

Domain:
1. Set bottom equal to zero and solve for x
2. Set up intervals

Range:
1. Take limit as x > ∞
2. Set up intervals

4. Absolute value

Domain: (-∞, ∞)
Range: [shift, ∞) or (-∞, shift]

That was fun.