Question

Which of the following tables represents a function?

A. x) 6 6 7 7
y) 2 −2 3 −3

B. x) 2 −2 3 −3
y) 5 5 7 7

C. x) 3 −3 3 −3
y) 6 7 8 9

D. x) 4 4 5 5
y) 1 2 3 4

Answer 1

Answer:

B

Step-by-step explanation:

The others have an x val with 2 y vals

Answer 2

The table which represents a function is required.

Option B is a function.

In a function one value of $x$ cannot have two values in $y$.

However one value of $y$ can have two or more values in $x$.

Let us check the ordered pairs

$(6,2),(6,-2),(7,3),(7,-3)$

It can be seen that $6$ has two values in $y$ so, it is not a function.

$(2,5),(-2,5),(3,7),(-3,7)$

It can be seen that all values of $x$ do not have two values in $y$.

Hence, this is a function.

$(3,6),(-3,7),(3,8),(-3,9)$

It can be seen that $3$ has two values in $y$ so, it is not a function.

$(4,1),(4,2)(5,3)(5,5)$

It can be seen that $4$ has two values in $y$ so, it is not a function.

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