Answer:
See explanation below.
Step-by-step explanation:
Assuming the following function:
[tex]y =6250 ln(400t-35)[/tex]
Where y represent the sales and t the years after a particular model is introduced.
For this case if we find the domain for this function we have this:
[tex] 400t -35>0[/tex] Since the neatural log for negative numbers or 0 is not defined.
So then [tex] t >\frac{35}{300} =\frac{7}{80}[/tex]
And the range on this case is all the possible reals.
The sales are equal to 0 when:
[tex] ln(400t-35) = 0[/tex]
If we exponential both sides we got:
[tex] 400t -35 = 1[/tex]
[tex] t = \frac{36}{400}=\frac{9}{100}[/tex]
So then the x intercept is [tex] (\frac{9}{100}, 0)[/tex]. We don't have y intercept since the function not touch the y axis.
And we don't have a relative maximum or minimum since the function is increasing over the interval of all the reals.
The plot of the function is on the figure attached.
