Question

Which is an exponential decay function? f(x) = 0. 2 Five-thirdsx f(x) = â€""3. 1x f(x) = 10x f(x) = â’2(0. 7)x.

Answer 1

An exponential function can represent growth or decay.

$f(x) = 2(0.7)^x$ represent a decay function.

An exponential function is represented as:

$f(x) = ab^x$

Where:

b represents the rate.

When the value of b is less than 1, then the exponential function represents a decay function.

The functions are given as:

$f(x) = 0.2(\frac 53)^x$

$f(x) = 3(1)^x$

$f(x) = 10^x$

$f(x) = 2(0.7)^x$

Of these functions, only $f(x) = 2(0.7)^x$ represent a decay function.

This is so because its rate (0.7) is less than 1

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