Question

Select 2 of the following

Answer 1

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.