Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.
Part B: All we have to do is plug in 11 for x in the function given to find the answer:
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.
Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
Answer:
Step-by-step explanation:
Statement Reason
ΔACE, BD║AE Given
∠4≅∠1 and ∠3≅∠2 Corresponding angle postulate
ΔACE is similar to ΔBCD Angle-Angle similarity postulate
Definition of similar triangles
CA=CB+BA and CE=CD+DE Segment addition postulate
Substitution property of equality.
Addition of fractions.
Simplification of fractions
Subtraction property of equality.