Thread: Function problem

A rectangle has a vertex on the graph of y = 9 - x^2, one in the origin, one in the positive side of the x - axis, and the fourth one on the positive side of the y - axis.

* express the area of the rectangle as a function of x
* what is the domain? ( i can prob get this when i know how to do the area one)
* wat is the area of the rectangle when x = 1.5?

thanks for your help

Hello, NeedHelp18!

Did you make a sketch?

A rectangle has a vertex on the graph of ,
one at the origin, one on the positive x - axis, and the fourth one on the positive y - axis.

(a) Express the area of the rectangle as a function of

Code:

              |
              *9
          *   |   *
       *      + - - -*
     *        |::::::| *
    *         |::::::|y *
              |::::::|
  -*----------+------+---*-
              |   x      3

The area of the rectangle is: .

Therefore: .

(b) What is the domain?

The domain is: .

(c) What is the area of the rectangle when ?