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(08.06 LC) A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table: Product Function Year 1(dollars) Year 2(dollars) Year 3(dollars) Product 1 g(x) = x2 + 11 12 15 20 Product 2 h(x) = 4x 4 16 64 Based on the data in the table, for which product does the price eventually exceed all others, and why?

(08.02 MC) The function f(x) = −x2 − 7x + 30 shows the relationship between the vertical distance of a diver from a pool’s surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?

(07.05 MC) Use the key features of the polynomial f(x) = −4×4 + 4×3 + 9×2 − 12x + 10 to describe its end behavior.

(08.03 LC) What types of solutions will a quadratic equation have when the discriminant b2 − 4ac in the quadratic formula is zero?

(08.01 MC) A food packet is dropped from a helicopter and is modeled by the function f(x) = −12×2 + 19200. The graph below shows the height f(x), in feet, of the food packet at different times x, in seconds: Use the graph to determine the domain of f(x) for all viable x values, based on the context.

(07.05 MC) Which graph best represents the function f(x) = (x + 1)(x − 1)(x − 4)?

(07.04 LC) Factor completely 9×2 − 25.

(06.01, 06.02 HC) Part A: Create a fifth-degree polynomial with three terms in standard form. How do you know it is in standard form? (5 points) Part B: Explain the closure property as it relates to subtraction of polynomials. Give an example. (5 points)

(07.03 LC) Determine which polynomial is a perfect square trinomial.

(08.05 LC) The graphs of f(x) and g(x) are shown below: If f(x) = (x + 7)2, which of the following is g(x), based on the translation?