Between x = 2 and x = 3, which function has a greater average rate of change than y = 1 / 3 ^-x?

A) y = 2^x

B) y = 5^x-2

C) y = 1 / 4 ^-x

D) y = 2 / 3 ^-x

Question

Mathematics

Cameron Ingram

27 May, 14:52

Between x = 2 and x = 3, which function has a greater average rate of change than y = 1 / 3 ^-x?

A) y = 2^x

B) y = 5^x-2

C) y = 1 / 4 ^-x

D) y = 2 / 3 ^-x

+4

Answers (1)

Know the Answer?

Dawson Barr · Answer 1

C) Y = 1/4-X

Step-by-step explanation:

average rate of change =

Δy/Δx

The average rate of changes for each of the functions between 2 and 3 is 4, 48, 9/8, and 4. The average rate of change of y = 1/3 - x is 18. Therefore the average rate of change that is greater is 48, which is the function y = 1/4 - x

Between x = 2 and x = 3, which function has a greater average rate of change than y = 1 / 3 ^-x?A) y = 2^xB) y = 5^x-2C) y = 1 / 4 ^-xD) y = 2 / 3 ^-x

Between x = 2 and x = 3, which function has a greater average rate of change than y = 1 / 3 ^-x?

A) y = 2^x

B) y = 5^x-2

C) y = 1 / 4 ^-x

D) y = 2 / 3 ^-x