A plasma TV company determines that its total profit on the production and sale of x TVs is given by: P(x)=x^2+812x-9600

Will the graph of this function open up or down? How can you tell by looking at the equation?
As the number of TV’s produced increases, what happens with the profit?
How do you know how many solutions there are to the function? Show how you determined the nature of the solutions using the Discriminant.
Find the solutions and explain what these solutions represent. Use the Quadratic Formula.
How many TV’s must be produced to reach a minimum or maximum profit? Show your wo

Question

A plasma TV company determines that its total profit on the production and sale of x TVs is given by:  P(x)=x^2+812x-9600

Will the graph of this function open up or down?  How can you tell by looking at the equation?
As the number of TV’s produced increases, what happens with the profit?
How do you know how many solutions there are to the function?  Show how you determined the nature of the solutions using the Discriminant.
Find the solutions and explain what these solutions represent. Use the Quadratic Formula.
How many TV’s must be produced to reach a minimum or maximum profit? Show your wo

anonymous · Answer

I automatically know 2 of the answers...
*It's a positive x^2 value. If it was negative like -x^2 it would be upside down.
*Number of solutions is determined by highest power of x in formula. Here it is a 2, so 2 answers.