A ball is thrown straight up into the air from an initial height of 5 feet at time t = 0. The height, in feet, of the ball above the ground is given by h(t), where t is measured in seconds for 0 ≤ t ≤ 15. Based on the values of t and h(t) given in the table, for which value of t would the speed of the ball most likely be the greatest? t (seconds) 0 3 6 9 12 15
h(t) (feet) 5 12 15 11 6 0
Select one:
a. 2 seconds
b. 5 seconds
c. 9 seconds
d. 15 seconds

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The domain and range for function g are D(−infinity symbol, infinity symbol) and R(−infinity symbol, infinity symbol). Describe the following statement:

the limit as x approaches 3 of the function g of x equals 4

Select one:
a. The value of g at 3 is 4.
b. The value of g at 4 is 3.
c. As x gets closer to 4, the value of g gets closer to 3.
d. As x gets closer to 3, the value of g gets closer to 4.

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The distance, d(t), in feet, a bug has traveled is shown in the graph.

A coordinate plane with a function d of t consisting of a line starting at 0 comma 1 rising to 1 comma 2, a horizontal line from 1 comma 2 to 2 comma 2, a line falling from 2 comma 2 to 3 comma 1, and a line falling from 3 comma 1 to 6 comma 0.

Estimate the rate of change in the distance of the bug at time t = 4 seconds.

Select one:
a. negative one third
b. the limit as t approaches 4 of the function d of t feet per second
c. d(4) ft/s
d. 0.7 ft/s

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The curve y = x2 is given. Which of the following describes a method for finding the instantaneous slope at P?

Function y equal to x squared graphed on coordinate plane with points A at one point five comma two point two five and P at one comma one, labeled on the curve.

Select one:
a. change in y over change in x of line AP gives the instantaneous slope at P.
b. The value of the limit as A approaches 1 of the slope of line AP gives the instantaneous slope at P.
c. The value of the limit as P approaches A of the slope of line AP gives the instantaneous slope at P.
d. The value of y at P gives the instantaneous slope at P.

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Which of the following is a possible graph of f given the condition that the limit as x approaches 2 of the function f of x equals 3?

Select one:
a. Piecewise function y equal to 2 times x plus 1 if x is not equal to 2 and y equal to 3 if x equals 2 graphed on a coordinate plane.
b. Piecewise function y equal to 3 if x is not equal to 2 and y equal to 4 if x equals 2 graphed on a coordinate plane.
c. Function y equal to one third times quantity x minus 1 quantity squared if x is less than or equal to 4 graphed on a coordinate plane.
d. Piecewise function y equal to negative one third times quantity x minus 1 quantity squared if x is less than 2 and y equal to 3 if x equals 3 graphed on a coordinate plane.