Which set of ordered pairs represents a function?
a {(0, 1), (1, 3), (1, 5), (2, 6)}
b {(0, 0), (1, 2), (2, 4), (3, 4)}
c {(0, 1), (1, 2), (2, 3), (2, 4)}
d {(0, 0), (0, 2), (2, 2), (2, 4)}

Step-by-step explanation:

First of all, we have to remember what's a function.

A function is actually a relation between two sets, where to every element of the first set (domain) is assigned ONLY ONE element of the second set (range).

If the relation assigns more than one range element to a domain element, such relation won't be a function.

So, in this case, we just have to see which set of ordered pairs is really a function.

You can observe that choice B.  {(0, 0), (1, 2), (2, 4), (3, 4)}, represents a function, because to every domain element there's assigned only one range element. For x=0, there's y=0, x=1 with y=2, x=2 with y=4 and x=3 with y=4.

Therefore, the answer is B.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)