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Natalka [10]
3 years ago
8

Determine whether the equation is exponential growth or exponential decay

Mathematics
1 answer:
Harman [31]3 years ago
4 0

9514 1404 393

Answer:

  1. decay
  2. decay
  3. growth

Step-by-step explanation:

If the base of a positive exponential is greater than 1, the function is a growth function. If it is less than 1, the function decays.

Remember that a^-1 = 1/a, so a negative exponential can be transformed to a positive one.

__

1. y = 2(11/5)^-x = 2(5/11)^x . . . . 5/11 < 1, so decay

2. y = e^(-2x) = (1/e^2)^x . . . . 1/e^2 < 1, so decay

3. y = 1/4e^x . . . . e > 1, so growth

_____

e ≈ 2.71828 . . . an irrational number

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