Question 181018: Can you help me with this please.
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
True or false: The function "f(x) = 4x" grows four times faster than the function "g(x) = x". Explain.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Can you help me with this please.
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
Form: y = ab^x
If 0 < b < 1 the function is a decay function.
If b > 1 the function is a growth function
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True or false: The function "f(x) = 4x" grows four times faster than the function "g(x) = x". Explain.
Yes. The slope gives the average rate. f(x)=4x has a slope of 4 and
f(x) = x has a slope of 1.
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Cheers,
Stan H.
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