A snowboard manufacturer determines that its profit, P, in thousands of dollars, can be modelled by the function P(x)=x+0.001 25x¹ - 3. where x represents the number, in hundreds, of snowboards sold. a. What type of function is P(x)? b. Without calculating, determine which finite differences are constant for this polynomial function. C. What is the value of the constant finite differences? d. Describe the end behaviour of this function, assuming that there are no restrictions on the domain. e. State the restrictions on the domain in this situation. f. What do the x-intercepts of the graph represent for this situation? g. What is the profit from the sale of 3000 snowboards?
