1. (25 points) The media access control (MAC) address of a network interface is a unique address. Each network interface relating to its MAC fits the criteria of a function because each device has its own, unique MAC address. Describe an everyday situation in your field that is a function. Be sure to explain exactly why the situation is a function.
Using a mac address is a direct link from one connection to another, for example going from a PC to a switch, this is an example of a function because one port on the switch only goes directly to one pc each match up.
2. (20 points) Describe a chart or graph you might find related to a computer that fits the criteria for the graph of a function. Make sure to explain in detail why the graph fits the criteria. The graph of g is the graph of f shifted vertically up by 4 units, the functions meet the criterial of graph in the sense that if a vertical line is drawn it will only cut the graph once.
4. (15 points) For any given graph of a function, explain how to find its domain.
If a function f does not model data or verbal conditions, its domain is the largest set of real numbers for which the value of is a real number. Exclude from a function’s domain real numbers that cause division by zero and real numbers that result in a square root of a negative number. For example = x2 – 7x contain no division nor square root. Expression x2-7x represents a real number. Thus, the domain of f is the set of all real numbers
5. (25 points) Find the values, given the following functions: () = 3 2 − 2 − 4 and
() = 3 − 4
a. (0) f(0)=3(0)^2 -2(0)-4 , therefore f(0) = -4
b. ( + 3) f(x+3)=3(x+3)(x+3)-2(x+3)-4 f(x+3)=3(x^2+6x+9)-4 f(x=3)=3x^2+18x+23 c. () + ()
(3x^2-2x-4) + (3x-4)
3x^2+x-8
d. (())
3(3x-4)^2 -2(3x-4)-4
3(9x^2+16)-6x+8-4
27x^2-6x+52
