Nicala's Blog

this week in advanced we went back a couple of chapters to chapter 4 section 1. we learned the domain, range, and zeros which you should remember from algebra 2.


there are four different problem are



1. Polynomial- they have no variable in denominator

the domain will always be (-infinity, infinity)

the range will always be (-infinity, infinity) if the degree of the polynomial is odd otherwise you will not have a range.



2. Square roots-

domain-you have to set equal to zero and solve for x.

then you put it on a number line

and plug in the numbers

range- use a [vertical shift, infinity)



3. Fractions

Domain- set the bottom equal to zero and solve for x

then set up intervals

Range- take limits x(infinity)



4. Absolute value

Domain: (-infinity, infinity)

Range: ( zero, infinity)



Example Problem

3x^3+5x^2+9x

domain:( -infinity, infinity)
and because the degree of the polynomial is 3 the range is (-infinity, infinity)