4-1

Section 4-1
Domain and Range
This week in advanced math we went back to chapter four since we skipped over it in the first semester. Chapter 4 deals with more algebra than advanced math. We only got started on two sections this week so I’m guessing the whole chapter is on domain and range. Let’s review section 4-1 shall we.
A few simple way to find domain and range
1. Polynomial – an equation with no variables in the denominator.
Domain…. Is always (-infinity, infinity)
Range….. is (-infinity, infinity) if it is odd

2. Square roots –
Domain….. set inside equal to 0 and solve for x, set up a number line, plug in numbers and use the
Positive intervals
Range……. [vertical shift, infinity)

3. Fractions –
Domain……set bottom equal to 0 and solve for x, set up intervals
Range…..take the limit as x -> infinity, set up intervals

Example:

6x5 + 7x is a polynomial so the answer is D: (-infinity, infinity) R: (-infinity, infinity)