Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
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Exercise 3 Page 326

Recall the properties of the natural base exponential function.

Exponential growth

Practice makes perfect

To determine whether the given function represents exponential growth or exponential decay, let's recall two properties of the natural base exponential function, y= ae^(rx).

y=ae^(rx)
a>0 and r>0 a>0 and r<0
Exponential growth function Exponential decay function

Let's now consider the given function. y=e^(0.6x) ⇔ y= 1e^(0.6x) Since both a= 1 and r= 0.6 are greater than zero, the function is an exponential growth function.