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

x y
2 1
2 4
3 4
4 2
5 5

A.
Yes, because every x-value corresponds to exactly one y-value.

B.
No, because one x-value corresponds to two different y-values.

C.
Yes, because there are two x-values that are the same.

D.
No, because two of the y-values are the same.

B.

No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

For example : R ={(1,2), (2,4), (3,5), (7,5)} is a function since there exist only one unique value corresponding to each x-value.

In the given relation

x y

2 1

2 4

3 4

4 2

5 5

One x-value corresponds to two different y-values  [ 2 corresponds to both 1 and 4]

That means, it is not a function.

Hence, the right option would be :

B.

No, because one x-value corresponds to two different y-values.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

[2, 2.5)

(2.5, 3]

step-by-step explanation:

i think its these two not sure [2, 2.5)

(2.5, 3]