(01.07 MC) Functions f, g, and h are functions of x. Use the table to find x 0.9 0.99 0.999 1 1.001 1.01 g 7 6 5 2 5 7 f 0 1 1.9 undefined 2.1 3 h −4 −2 0 2 0 −2

(02.05 MC) Let f and g be functions of x, where a is an unknown constant. What is a valid expression for if f = ax2 and

(01.02 MC) GPS data gives the position of a drone’s height, p as a function of t, relative to a target on the roof in the following graph. Use the graph of the data to determine the time t when the rate of change is undefined.

(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?