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

Which statements are true for this function and graph? Check all that apply.

The initial value of the function is 1/3.

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

The function is a shrink of the function f(x) = 3^x

One point on the graph is (3, 0).

Consider the exponential function fx 313x and its graph Which statements are true for this function and graph Check all that apply The initial value of the func class=

Respuesta :

An exponential function is of the form f(x)=a[tex]b^{x}[/tex]

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

[tex]f(x)=3(\frac{1}{3})^x[/tex]

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)  =[tex](\frac{1}{3})^x[/tex]


Answer:

The base of the function is One-third.

The function shows exponential decay.

The function is a stretch of the function f(x) = (one-third) Superscript x.

Step-by-step explanation:

I think!