Question

Which relation does not represent a function? A) a vertical line B) y = 5 9 x - 3 C) a horizontal line D) {(1, 7), (3,7), (5, 7), (7,7)}

Answer 1

A) a vertical line does not represent a function.

Step-by-step explanation:

For a relation to be a function for each value of
`x` there must be only one value of
`y`. In other words a function is one in which each value in the domain set corresponds to only one value in the range set.

Let us check for this condition in the give choices:

A) a vertical line

A vertical line is given as
`x=a` which meas it is parallel to y-axis and has infinite number of
`y` values for a single
`x` value.

So, its Not a function.

B)
`y=(5)/(9)x-3`

For the given equation, on plugging in some
`x` value will give a single
`y` value.

So, its a Function.

C) a horizontal line

A horizontal line is given as
`y=a` which meas it is parallel to x-axis and has infinite number of
`x` values giving a single
`y` value.

So, its a Function .

D) {(1, 7), (3,7), (5, 7), (7,7)}

For the given set for different
`x` valuesthere is only one
`y` value.

So, its a Function .