Question

analyze the graph of the exponential decay function.
the initial value is dropdown.

the base, or rate of change, is dropdown.

the domain is dropdown.

Explanation:

Find the initial value

$$ y(0) = 1 $$

Determine the base

$$ b = \frac{y(1)}{y(0)} = \frac{1/3}{1} = \frac{1}{3} $$

Identify the domain

$$ x \in (-\infty, \infty) $$

Answer:

Analyze the graph of the exponential decay function.
The initial value is <blank>1</blank>.

The base, or rate of change, is <blank>\(\frac{1}{3}\)</blank>.

The domain is <blank>all real numbers</blank>.