This is the on the same chem quiz and it’s just like the last question... I’m stuck

a) At any x-intercept, f(x) = 0. In the context of the problem, this means that the company makes 0 profit when they price the pens at 0 and at 6.

The interval where the graph is increasing is 0<x<3, and decreasing at 3<x<6 Which means from $0 to $3, the total profit increases, and as the pens are priced more and more above $3, the total profit decreases until it gets to 0 at $6 (because nobody wants to buy them).

b) I dont know your graph at x = 5 but x = 3 is the maximum so the rate has to be negative. The negative rate means that the company is losing profit as they charge more and more above $3. T

c) The domain is limited to 0≤x≤6 because if they charge any more or any less they would not make negative money.