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How does g(t) = 1/2t change over the interval t = 0 to t = 1?

How Does Gt 12t Change Over The Interval T 0 To T 1 class=

Sagot :

we have the equation

[tex]g(t)=\frac{1}{3^t}[/tex]

Find out the rate of change over the interval [0,1]

Remember that

the formula to calculate the rate of change is equal to

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

In this problem

a=0

b=1

g(a)=g(0)=1

g(b)=g(1)=1/3

therefore

the function decreases by a factor of 3