Question

Goal: Find a reasonable domain and range for each function.

Answer 1

D(x) = 32x......ur range will be ur d(x) values and the domain will be ur x values.....where d(x) = total distance and x = gallons.
So we already know that ur car's fuel tank holds 17 gallons....therefore, ur domain has to be 17 gallons or less...but it cant be negative.
so ur domain is : 0 < = x < = 17

now for ur range....since the car only holds 17 gallons....d(x) = 32(17) = 544 miles....thats the farthest it can go...therefore it can go from 0 to 544 miles....so ur range is : 0 < = d(x) < = 544

or u could write it as : domain = (0,17) with 0 representing an empty tank and 17 representing a full tank.....and ur range = (0,544) with 0 representing 0 miles driven and 544 representing 544 miles driven