Question

is this relation a function? {(1,5), (8,4), (3,-2), (1,0), (6,-3)} domain range select the option that best applies a no, there is an x that is mapped to more than 1 y b no c yes d yes every x was mapped to only 1 y

Explanation:

Step1: Recall function definition

A function is a relation where each input (x - value in the domain) has exactly one output (y - value in the range). So we check the x - values (first elements of each ordered pair) in the relation \(\{(1,5),(8,4),(3, - 2),(1,0),(6,-3)\}\).

Step2: Identify repeated x - values

Look at the x - values: 1, 8, 3, 1, 6. The x - value 1 appears twice. For \(x = 1\), when we look at the ordered pairs \((1,5)\) and \((1,0)\), the x - value 1 is mapped to \(y = 5\) and \(y=0\). This means there is an x (specifically \(x = 1\)) that is mapped to more than one y.

Answer:

A. No, there is an x that is mapped to more than 1 y