Question

Select "Growth" or "Decay" to classify each function.

Function Which ones are growth or decay
f(x)=(1.05)t4
y=100(0.4)t
f(x)=14(10)t12

Answer 1

The answers are 1. Growth, 2. Decay, and 3. Growth. I am a 100% persent certain that i am correct because i just took the test and got an A.

Answer 2

Using exponential function concepts, we have that:

1. Growth.

2. Decay.

3. Growth.

An exponential equation has the following format:

$y = ab^x$

• If $b > 1$, it represents growth.
• If $0 < b < 1$, it represents decay.

• For item 1, we have that $b = 1.05 > 1$, thus it is growth.
• For item 2, we have that $b = 0.4 < 1$, thus it is a decay.
• For item 3, we have that $b = 10 > 1$, thus it is growth.

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