Use the tables to determine which function will eventually exceed the other, and provide your reasoning.

x f(x)
−1 .333
0 1
1 3
2 9

x g(x)
−1 5
0 4
1 5
2 8

A) f(x) will eventually exceed g(x) because f(x) has a higher rate of change.
B) f(x) will eventually exceed g(x) because f(x) is an exponential function.
C) g(x) will eventually exceed f(x) because g(x) has a higher rate of change.
D) g(x) will eventually exceed f(x) because g(x) is an exponential function.

The number of branches on a tree demonstrates the fibonacci sequence. how many branches would there be on the next two levels of this tree? 13 | | | m branches

Asmall business produces and sells balls. the fixed costs are $20 and each ball costs $4.32 to produce. each ball sells for $8.32. write the equations for the total cost, c, and the revenue, r, then use the graphing method to determine how many balls must be sold to break even.

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.