Question

Which function represents exponential growth

Answer 1

Answer:

Option 3 -   $y=14(1.95)^x$                

Step-by-step explanation:

To find : Which function represents exponential growth?

Solution :

The general form of exponential function is $f(x)=a(b)^x$

where, a is the initial value and b is the growth/decay rate factor.

If b>1 then it is the growth factor.

If b<1 then it is decay factor.

Now, From the given options

1) $y=14(0.95)^x$

Since, 0.95 <1 it is a decay exponential function.

2) $y=14x^{1.95}$

It is not in form of exponential function.

3) $y=14(1.95)^x$

Since, 1.95 >1 it is a growth exponential function.

4) $y=14/(1.95)^x$

It is not in form of exponential function.

Therefore, Option 3 is correct.

Answer 2

The exponential function with a base greater than 1 is

  14(1.95)^x