True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.
1 answer:
Hi there!
f(x) = 2(1/5)ˣ
Recall the form of an exponential function:
f(x) = a(b)ˣ where:
a = initial value
b = rate of decay/growth
If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.
1/5 < 1, so the function is undergoing exponential decay, not growth.
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The two limits when x tends to zero are:
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And other from the positive side (where we go along the orange line).
We will get:
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