Does this table represent a function? why or why not?

a.
yes, because the x-values are positive numbers.

b.
no, because none of the y-values are the same.

c.
no, because each x-value is different.

d.
yes, because every x-value corresponds to exactly one y-value.

For this case we must indicate if the given table represents a function.

By definition, a function is a relation between two sets in which each element of the first set is related to a single element of the second set.

It is observed in the table, that each value of the starting set has associated a single element in the arrival set.

Therefore, we have that it is a function because each value of "x" corresponds to a value of "y".

Option D

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,