Answer:
.
Step-by-step explanation:
Given information:
Period = 24 hr
Maximum = 16 at t=16 hr.
Minimum = 10 at t=4 hr.
The general sin function is
.... (1)
where, |A| is altitude, is period, C is phase shift and D is midline.
Period is 24 hr.
Altitude is
The function is minimum at t=4 and maximum at t=16,phase shift is
Substitute these values in equation (1).
Therefore, the required function is .
first off, let's notice that Purple's time is in minutes, whilst the rate is in miles per hour, the units of both must correspond, so, we can either change the time from minutes to hours or the rate from hours to minutes, hmmm let's change the time to hours.
so 40 minutes, we know there are 60 minutes in 1 hour, so 40 minutes will be 40/60 of an hr, or namely 2/3.
An asymptote is a line that a curve approaches, as it heads towards infinity.
For the given function: The curves of the function approach to the asymptote x= -2 (graph of the function never touches x= -2):
Asymptote: x= -2
