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Rom4ik [11]
3 years ago
10

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
Mathematics
1 answer:
FrozenT [24]3 years ago
5 0

Answer:

f(x) = 4 \times (\dfrac{1}{8})^{x}.

Step-by-step explanation:

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

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

a \cdot b = 4 \cdot b = f(1) = \dfrac{1}{2}.

As a result,

b = \dfrac{1}{8}.

f(x) = a \cdot b^{x} = 4 \times (\dfrac{1}{8})^{x}.

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

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