Change the values of a to select x-values for h(x) = 9-x^2

Consider the triangle with its base on the x-axis with endpoints at (-3,0) and (3,0). The height is deﬁned by , for .
1) What is the height when Sketch the triangle.
2) For which value(s) of x is the height 5? Sketch the triangle(s).
3) What are the possible values for the height of the triangle?
4) How do the values you determined in #3 relate to the domain or range of the function ?
5) For what values of is the height maximized?
6) What are the possible values for the area of the triangle?
7) For what values of x is the area maximized?
8) Write a function g describing the area as a function of the height h. What are the domain and range of g.
9) Write a function A for the area as a function of x. What are the domain and range of A?
10) What is the relationship between A, g, and h?