How do you find the domain and range of y = 9 - x^2y=9−x2?
1 Answer
Mar 1, 2017
Domain: All real numbers. (
Range:
Explanation:
Lets use the graph of this function to help us here.
graph{9-x^2 [-20, 20, -10, 15]}
As you can see, this function is a parabola that opens down and has been shifted up 9 units.
Recall that domain is the interval of all possible x-values (independent variable) for the function. Since this is a polynomial function, the domain is all real numbers (
Recall that the range of a function is all of the possible y-values (dependent variable) for this function. Looking at the graph, you can see that there are no y-values above 9. If we were to zoom out to infinity, we would also see that the graph goes down to
