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The graph of an exponential function passed through (0,4) and (1,1/2) write the rule for the function and tell whether the graph represents exponential growth or exponential decay

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4 votes

Answer:


f(x) = 4 * ((1)/(8))^(x).

Explanation:

Let
f(x) = a \cdot b^(x) represent this exponential function.
a \\e 0,
b > 0.


b^(0) = 1. As a result,
a = f(0) = 4.


a \cdot b = 4 \cdot b = f(1) = (1)/(2).

As a result,


b = (1)/(8).


f(x) = a \cdot b^(x) = 4 * ((1)/(8))^(x).

This function represents an exponential decay since
0 < b < 1.

User Nkalvi
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