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Urgent!!!

set whether each of the following equations represents a growth or decay


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


2.f(x) = (0.25)[tex]x^{x}[/tex]


3.f(x)= [tex]\frac{2}{3x^{x} }[/tex]


4.f(x) =[tex]\frac{3}{2} x^{x}[/tex]

Sagot :

facundo3141592

Answer:

Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.

A general exponential equation can be written as:

f(x) = A*(r)^x

Where A is the initial value, r is the rate of growth, and x is our variable.

If r > 1,  the function represents a growth.

if 0 < r < 1, the function represents a decay.

1) f(x) = 3^x

Here we have r = 3

This is clearly larger than 1, then this function represents a growth.

2) f(x) = (0.25)^x

Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.

3) f(x) = (2/3)^x

here we have r = 2/3 = 0.66

This is larger than zero and smaller than 1, then this function represents a decay.

4) f(x) = (3/2)^x

Here we have r = 3/2 = 1.5

This is larger than 1, then this function represents a growth,

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