Question

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

A. Exponential growth
B. Quadric
C. Linear
D. Exponential growth

Answer 1

Exponential Growth

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.