Question

G = {(1, 1), (1, 2), (1, 3), (1, 4)} Is G a function and why? Yes, no two ordered pairs in this list has the same second element. Yes, there is more than one ordered pair in this list. No, there is a limited number of ordered pairs in this list. No, each ordered pair in this list has the same first element.

Answer 1

No, each ordered pair in this list has the same first element.

Explanation:

An input can only have 1 output, but multiple inputs can have the same output. How you can check this if you have a graph is if you can draw a straight line (top to bottom) anywhere on the graph and it intersects with the line once or not at all.

Answer 2

No, each ordered pair in this list has the same first element.

Explanation:

• A function is a relation in which each possible input value leads to exactly one output value.

Given: G = {(1, 1), (1, 2), (1, 3), (1, 4)}

• It has same input (x=1) that leads to multiple outputs (y= 1,2,3,4). This relationship is not a function as per definition provided above.

Correct answer choice is:

• No, each ordered pair in this list has the same first element.