Question

Identify the type of function represented by f(x)=3(1.5)^x

Answer 1

Here your base (1.5) is greater than zero, so you have exponential growth here.  That " ^ " is the tip-off to exponentiation.

Answer 2

Answer:

Exponential Growth

Step-by-step explanation:

Given: $f(x)=3(1.5)^x$

We are given a function. x as exponent of 1.5

Exponent function, $y=ab^x$

If x as exponent of any number then it would be exponent function.

Exponent function types:

(i) Growth

(ii)  Decay

If value of 0<b<1 then function is decay.

If value of b>1 then function is growth.

We will compare the function and to find value of b

$3(1.5)^x=ab^x$

$b=1.5>1$

The function is exponential growth function.