Question 1038440: graph y=x^2-4 on your paper. find domain and range
Answer by Othel(27)   (Show Source):
You can put this solution on YOUR website! I'm not sure how to make a graph, or even if we can. But I must say, you certainly should make a graph, if only to see what it looks like.
When we graph functions of the square of a number, it turns out to be a shape called a parabola. it is shaped like a 'v', and can also be an upside down 'v' if dealing with negative squares.
Once you know what the curve looks like, and it is indeed a function, you can understand a couple of things very quickly...
1. With infinity out there somewhere, the curve will reach out left and right to include all real numbers in the domain.
2. If the curve opens upward, the range will be no less than the 'Y' intercept.
If the curve opens downward, the range will be no more than the 'Y' intercept.
-----------------------------------------------------------------------------
In the case of this equation, we are looking at a positive square, as opposed to ...
 as an example.
So the curve will open upward.
The domain is the set of all real numbers.
The range is greater than or equal to the 'y' intercept, which is -4.
To understand this, please do draw a graph.
I hope this helps! Learn on
|
|
|
