Domain = all possible x-values
Range = all possible y-values
Range = all possible y-values
Domain
When finding the domain, check for:
- negative square roots
- denominators that equal zero
Examples
1.) In equations with fractions, the domain is determined only by the denominator. It is important to make sure that it will not equal zero.
Start by setting the equation equal to zero and solving.
These are the values that will make the denominator equal zero, so the domain of the function is all numbers except 2 and -1.
2.) In equations with a square root, it is important to make sure that we are not finding the square root of a negative number. 
To start, set the equation as greater than or equal to zero and solve.
This is the lowest x-value that can be used before the equation becomes negative. Therefore, the domain of the equation is all values equal to or less than three halves.
Range
To find the range, graph the equation to see all the different y-values.
In this example, we can see that the lowest y-value on the line is -1, and that the lines extend upwards indefinitely.
Therefore, the range is
Difference Quotient
No comments:
Post a Comment