Answer:
.
Step-by-step explanation:
From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable (
in this case) so that images exist and the range of a function is the set of images.
In this case, we know the domain and range of 
and we must find the domain and range of 
.
Domain
The domain of is the domain of . That is, .
Range
We have to define the bounds of the range of , given that range is modified by streching and horizontal translation operations:
Lower bound (
)
Upper bound (
)
In consequence, the range of is
Answer:
Demand: q = -50p + 1200
Supply: q = 40p
Step-by-step explanation:
First let's define our variables.
q = quantity of T-shirts
p = price
We know that when p = 12, q = 600. When p increases by 1, q decreases by 50. So this is a line with slope -50 that passes through the point (12, 600). Using point-slope form to write the equation:
q - 600 = -50 (p - 12)
Converting to slope-intercept form:
q - 600 = -50p + 600
q = -50p + 1200
Similarly, we know that when p = 9.75, q = 600 - 210 = 390. When p increases by 1, q increases by 40. So this is a line with slope 40 that passes through the point (9.75, 390). Using point-slope form to write the equation:
q - 390 = 40 (p - 9.75)
Converting to slope-intercept form:
q - 390 = 40p - 390
q = 40p
M=2 or m=-3 hope this helps
