Question

In Exercises 33, 35, and 37, determine whether the table represents an exponential growth function, an exponential decay function or neither. Explain. 33. 37. 35. * T 10 8 32 0.4 20 128

Answer 1

As we all know that exponential function is given by

Y=exp(x)

That means if x increases then y increases, it means given exponential function is exponential growth function and if x decreases then y decreases, it means the given function is exponential decay function.

33) here x increases (as -1,0,1,2)and correspondingly y decreases (as 50,10,2,0.4) .

Hence it is a exponential decay function.

34) here x increases (as 0,1,2,3) and correspondingly y decreases (as 35,29 ,23,17).

Hence it is an exponential decay function.

35)here x increases (as 5,10,15,20) and correspondingly y increases (as 2,8,32,128).

Hence it is an exponential growth function.

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