Question

Which function does NOT represent exponential growth?

Answer 1

Answer:

$y=2(0.2)^x$

Step-by-step explanation:

Since, an exponential function is,

$f(x)=ab^x$

It has exponential growth if b > 1

And, it has exponential decay if 0 < b < 1,

In $y=3(0.2)^x$

0 < 0.2 < 1

$y=3(0.2)^x$ does not represent exponential growth.

In $y= 3(2)^x$

2 > 1

$y= 3(2)^x$ represents exponential growth.

In $y= 0.3(2)^x$

2 > 1

$y= 0.3(2)^x$ represents exponential growth.

In $y=0.2(3)^x$

3 > 1

$y=0.2(3)^x$ represents exponential growth.

Answer 2

When a decimal is multiplied to a power, it decreases exponentially. Therefore, y=3(0.2)^x does NOT represent exponential growth.