Tell whether the function represents exponential growth or exponential decay. Then graph the function. y=3e^{2x}

Question

Tell whether the function represents exponential growth or exponential decay. Then graph the function.

y = 3 e^{2 x}

Answer 1

Step 1
If we compare given exponential function:

y = 3 e^{2 x}

and the function of the form:

y = a e^{r x}

then we can conclude that:

a = 3 > 0

and

r = 2 > 0

Since

a > 0

and

r > 0

then the function is an exponential growth.
Lets

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