The question already has all the information's that are required for getting to the solution. It is important to minutely look at all the details provided.
Actual price of the item = $14.74
Percentage of sales tax that needs to be added = 4%
Then
Amount of sales tax that needs to be added = (4/100) * 14.74 dollars
= 58.96/100 dollars
= 0.5896 dollars
= 0.59 dollars
Then
The cost of the item including sales tax = (14.74 + 0.59) dollars
= 15.33 dollars
From the above deduction we can easily conclude that the correct option among all the options given in the question is option "B".
for all
in [-3, 0], so
is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at
.
From the plot, it's clear that on [-3, 0] we have
. So

for some constant
. Given that
, we find that

so that on [-3, 0] we have

and

14/33 or in decimal form is 0.4242