Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation a function? Select all correct answers. Select all that apply: {(6,12),(3,1),(−1,13),(6,4)}

{(−1,−2),(−4,−4),(0,−5),(7,−5)}

{(−5,1),(4,10),(5,10),(6,7)}

{(−1,4),(1,6),(−1,−2),(0,7)}

{(−2,8),(2,1),(−4,8),(7,9)}

A - Not Function

B - Function

C - Function

D - Not Function

E - Function

Step-by-step explanation:

For a relation to be a function, each value of input should have exactly one output. Which means that for one value of x, there should only one value of y. If the relation has repetition of x in its ordered pairs, it means that for one value of x, there are two or more values of y, hence the relation is not a function

(Consult the diagram below)

As x = 6 is being repeat, it means that x=6 has two values of y that are 12 and 4. IT IS NOT A FUNCTION.

No repetition of x, IT IS A FUNCTION.

No repetition of x, IT IS A FUNCTION.

As x = -1 is being repeat, it means that x=-1 has two values of y that are 4 and -2. IT IS NOT A FUNCTION.

No repetition of x, IT IS A FUNCTION.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: