A school typically sells 500 year books in a year for $50 each. the economics class does a project and discovers that they can s
ell 125 more year books for every $5 decrease in price. The revenue for year book sales is R(x)= ( 500 +125x )( 50- 5x ) To maximize the profit what price should the school charge for the yearbooks?
You have to know that the graph of the arctangent function is a flat S-shaped curve that goes through (0, 0) and has asymptotes at ±π/2. The factor of 2 that multiplies it here expands it vertically so the asymptotes are at ±π. The +3 added to the x causes it to be shifted to the left by 3 units.
