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sashaice [31]
2 years ago
15

Select 2 of the following

Mathematics
1 answer:
siniylev [52]2 years ago
3 0

Answer:

OPTION C: The ratio is a constant.

OPTION E: The ratio is equal to b.

Step-by-step explanation:

Given: $ f(x) = a.b^x $

The ratio of f(x + 1) and f(x) = $ \frac{f(x + 1)}{f(x)} = \frac{a.b^{x + 1}}{a.b^x} $

Since, $ a^{x + 1} = a^x. a $

$ \implies \frac{f(x + 1)}{f(x)} = \frac{a.b^x.b}{a.b^x} $

Cancelling out $ a.b^x $ we get:

$ \frac{f(x + 1)}{f(x)} = b $

This shows that the ratio is always a constant and that constant is equal to b.

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