Question

Consider the exponential function f(x) = 3(1/3)^x and its graph

Answer 1

An exponential function is of the form f(x)=a$b^{x}$

where a ≠0, b > 0 , b ≠1, and x is any real number.

when b > 1, the graph increases.

when 0 < b < 1, the graph decreases.

a = initial value,r = growth or decay rate

x = number of time.

The given Exponential function is

$f(x)=3(\frac{1}{3})^x$

Among the options given the ones which are true for the given function are:

The growth value of the function is 1/3

The function shows exponential decay

The function is a stretch of the function f(x)  =$(\frac{1}{3})^x$

Answer 2

I think these ones should be correct,
The growth value of the function is 1/3
The function shows exponential decay
The function is a stretch of the function f(x) = (1/3)^x