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Which equation represents exponential growth f(x)=4(0.07)^x , f(x)=2(0.44), f(x)=1/2(6)^x, f(x)=7(1/2)^x

User GrenierJ
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Answer:


f(x)=(1)/(2)(6)^x

Explanation:

An exponential function is of the form
y=ab^(x), where,
a\\e 0.

Now, if a > 0 and b > 1, then the exponential function represent exponential growth.

If a > 0 and 0 < b < 1, then the exponential function represent exponential decay.

Let us check each function now.

Option 1:
f(x)=4(0.07)^x

Here,
a=4,b=0.07

As 0.07 < 1, the function is exponential decay.

Option 2:
f(x)=2(0.44)^x

Here,
a=2,b=0.44

As 0.44 < 1, the function is exponential decay.

Option 3:
f(x)=(1)/(2)(6)^x

Here,
a=(1)/(2),b=6

As 6 > 1, the function is exponential growth.

Option 4:
f(x)=7((1)/(2))^x

Here,
a=7,b=(1)/(2)

As
(1)/(2)< 1, the function is exponential decay.

Therefore, the equation that represent exponential growth is
f(x)=(1)/(2)(6)^x

User Vzhen
by
8.2k points

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