Question

A metal tray has depth x, length 1-2x and breadth 1-2x so that is volume is V(x) = x(1-2x)(1-2x) . Sketch the function V(x) and use your graph to estimate the value of x which will give the maximum possible volume.

Report your answer to two decimal places.

x= ______

(Picture attached below.)

Answer 1

When I input the equation into my graphing calculator, I get something like this.
So I tried x=0.21 since the it is the first hump that is the highest and not extending into forever... but it's wrong and I'm unsure how to go about this.