The function is , where
is number
of hours after taking the dose.
\(a)
\Graph the function :
(b)
\Domain of a polynomial function is all real numbers.
\The relevant domain represents the interval of time beginning
\when the dose was first taken and ending when the pain reliever
\left the blood stream.Because time cannot be negative, .
The amount of pain reliever in the blood stream is zero when
\the dose is first taken at and is zero again at
,
Therefore .
Relevant domain of the function is .
(c)
\Observe the graph of the function :
The maximum value of the function is .
Therefore, the maximum amount of pain reliever that entered the
\blood stream is 346 milligrams.
\ \(a)
\Graph the function :
(b) Relevant domain of the function is .
(c) The maximum amount of pain reliever that entered the blood
\stream is 346 milligrams.