From this equation, C = f (P)/P 6. Starting with the general format of a function, f (x) = ax + b, we can build a system of equation to identify a and b, as such:

-3 a+ b = 0 and a + b = 12. From this system of equation, subtracting the first equation from the second, -4a = -12 and a = 3. As a result, b = 9. The resulting function is f (x) = 3x+9.

This can be verified with one of the other value from the table, for example x=3. Putting x=3 in the function, the resulting f (3) = 18, which is verified by the actual value...

a. This is a function where the speed that you drive with is the variable and the connecting element is the distance to work.
b. This is a function. For every value of x in the real numbers domain, we have a resulting f (x). In this case, the resulting f (x) will be either 45 or -4.

c. This is not a function, because for a particular x value (x=0) there are two possible resulting values (4 and -4). As a consequence, this cannot be considered a function, since one of the conditions for a…