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3 years ago

Determine whether the equation is exponential growth or exponential decay

Mathematics

1 answer:

Harman [31]3 years ago

4 0

9514 1404 393

Answer:

decay
decay
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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$\large\underline{\sf{Solution-}}$

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