(02.05 MC) Use the graph to find [(f(x) + 2) • g(x)]′ when x = 1.

(05.08 MC) A company wants to encrypt a document containing important passwords. To do this, the product of a positive number and a negative number will need to be minimized. If the positive number is 10 greater than the negative number, what is the minimum product of the two numbers?

(01.09 MC) What is

(01.07 MC) Functions f, g, and h are functions of x. Use the table to find x 1.9 1.99 1.999 2 2.001 2.01 f 2 0.5 0.1 0 0.1 0.5 g −1 0.2 −0.01 undefined 0.01 −0.2 h −2 −1 −0.5 0 −1 −3

(06.06 MC) Let f(x) and its linear derivative f ‘(x) be defined for all real numbers. Use the table of selected values to determine f(5). x 2 3 4 5 f(x) −2 ? −14 ? f ‘(x) −4 −6 ? −10

(02.01 MC) Let f be defined as f(x) = x4 − 2x. What is the average rate of change of the function f on the closed interval [0, 4]?

(05.08 MC) A company wants to encrypt a document containing important passwords. To do this, the product of a positive number and a negative number will need to be minimized. If the positive number is 9 greater than the negative number, what is the minimum product of the two numbers?

(05.03 MC) If f ′(x) > 0 for x < −2 and f ′(x) < 0 for x > −2, then it can be concluded that f has a relative minimum at x = −2.

(05.05 MC) Let h be a continuous function, with its first derivative given by h ′(x) = 4×3 − 10×2 + ex. The graph of h is concave down on which of the following intervals?

(05.02 MC) Which of the following functions is guaranteed by the Extreme Value Theorem to have an absolute minimum on the interval [−8, 8]?