Determine which set of ordered pairs is a function.
a.
{(–1, 3), (1, 4), (–1, 5)}
b.
{(5, 3), (–6, 3), (–2, 4)}
c.
{(0.5, 1.6), (1, 1.75), (1.5, 2.3), (0.5, 3.6)}
d.
{(1, 2), (–5, 4), (3, 6), (–5, 2)}

B.  {(5, 3), (–6, 3), (–2, 4)}

Step-by-step explanation:

A relation is called function if for each input value there is only one output value,

In option A,

For -1 there are two values i.e. 3 and 5,

⇒ {(–1, 3), (1, 4), (–1, 5)} is not a function,

In option B,

There are only one output value for each input value,

⇒ {(5, 3), (–6, 3), (–2, 4)} is a function,

In option C,

There are two output values for 0.5 i.e. 1.6 and 3.6,

⇒ {(0.5, 1.6), (1, 1.75), (1.5, 2.3), (0.5, 3.6)} is not a function,

In option D,

There are two output values for -5 i.e. 4 and 2,

⇒ {(1, 2), (–5, 4), (3, 6), (–5, 2)} is not a function,

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6