Question

Which of the sets of ordered pairs defines a function?

a) {(-3, 2), (-2, 3), (-1, 4), (-2, 5)}
b) {(-1, 2), (0, 3), (0, 4), (1, 5)}
c) {(1, 3), (2, 4), (3, 5), (4, 6)}
d) {(0, 1), (1, 2), (2, 3), (1, 4)}

Answer 1

Answer: Choice C

{(1, 3), (2, 4), (3, 5), (4, 6)}

Step-by-step explanation

A function happens when any x input from the domain leads to exactly one y output in the range.

Choice D can be ruled out because x = 1 pairs with y = 2 and y = 4 at the same time. Choices A and B are similar stories.

Choice C on the other hand doesn't have repeated x coordinates. Each x coordinate is listed once only.

Visually you can plot the points to see which relation passes the vertical line test. This is where you try to pass a single vertical line through more than one point.