How do you find the domain and range of #10-x^2#?
1 Answer
Apr 25, 2017
See below.
Explanation:
Perhaps the best way to find domain and range is to look at a graph.
graph{10 - x^2 [-20, 20, -10, 10]}
There is, according to the graph, a y-intercept at (0,10), and this is the graph's maximum or highest point. Therefore, you know the range has to be:
y ≤ 10
Now, you want the domain. The graph continue's downward and across (left and right) until infinity. Therefore, the domain is:
x = ℝ (all real numbers)
I hope that helps!
