Question

{(0, 0), (2,4), (3,6), (4, 8), (5, 10)}

(-2,-1), (-4-5), (0,-1), 3, 5}}
[-2.3), -1.3), 0,-3) (13) (23)
(1,1), (4,2), 19.3), (1,-1), (4,-2)}
state whether the relation is a function.

Answer 1

To determine if a relation is a function, ensure each x-value corresponds to exactly one y-value. The provided set {(0, 0), (2,4), (3,6), (4, 8), (5, 10)} demonstrates this property, thus it is a function. Other sets cannot be evaluated due to typos.

Step-by-step explanation:

To determine whether the given relations represent a function, we look for a unique output (y-value) for each input (x-value). In a function, each input value can be paired with only one output value. We will examine each set of ordered pairs provided.

For the set {(0, 0), (2,4), (3,6), (4, 8), (5, 10)}, every x-value is unique, and each is paired with a unique y-value. Therefore, this set represents a function.

The other provided sets contain either typographical errors or are incomplete and cannot be properly evaluated. However, the principle remains: if any x-value is paired with more than one distinct y-value, the relation is not a function. Conversely, if each x-value corresponds to exactly one y-value, the relation is a function.