kaitlyn's bloggggg

In this blogggg, i will go overr Chapter 14-1. This section is all about domain and range. I've learned this before in algebra 2 i thinkk, but i could never get it and thought it was the hardest thing to do, but now i understand it pretty well now that it was broken down more for me.


There are different ways to find the domain and range with different equations:

Polynomials- domain: always (-infinity,infinity)
range: (-infinity,infinity) if odddd

Square roots- domain: 1)set inside equal to 0 and 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 zero and 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]


Example: x^3+2x-3
domain: (-infinity, infinity)
range: (-infinity, infinity)


Example: (squarerootof x-3)+1
x-3=0
x=0
domain: (-infinity, 3) u (3, infinity)
range: [1, infinity)