Let f be the function given by f of x equals begin quantity x minus 15 end quantity over begin quantity x squared minus 31 times x plus 240 end quantity. Part A: Graph the function f using graphing technology. What is an appropriate horizontal scale and vertical scale for the viewing window? (5 points)

Part A: Yes, the first data represents a function. By the book definition, a function is a relation in which no value of x will have two different values of y. This means that we can have two similar values of y with two different values of x but not the other way around.
None of the numbers for the table of x repeat, therefore we can safely say that the relation is a function.

Part B: For this part, all we have to do is to plug in x = 4 in the 2nd relation,

f(x) = 2(4) – 8 = 0

In the table, when x = 4, y = 9. Therefore the function described in the table has greater value.

Part C: Again all we have to do is to plug in x = 34 in the 2nd relation,
f(x) = 2(34) – 8

f(x) = 60