Without graphing, determine whether the function y=(5.2)^x represents exponential growth or exponential decay.
2 answers:
Y = (5.2)^x is exponential growth. The exponential equation is y = a * b^x If b > 1 then the function is exponential growth. If 0 < b < 1 then the function is exponential decay.
Answer:
An exponential function is given by:
......[1]
where,
a is the initial amount.
If b > 1, then this is exponentially growth function.
If 0<b<1, then this is exponentially decay function.
As per the statement:
Given the function:
On comparing with equation [1] we have;
a = 1 and b = 5.2
Since, b = 5.2 > 1
⇒the given function is exponentially growth function.
therefore, the function represents exponentially growth function.
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