Classify each of the following as a function or not a function. Select "1" for Function and "2" for Not a function. Graph of a circle. {(1, -2), (-2, 0), (-1, 2), (1, 3)} 1. Function
Answer (1)
In mathematics, a function is a relation where each input has a unique output. Let's analyze each part of the question to determine what is a function and what is not.
Graph of a Circle:
A circle is not a function because there can be multiple outputs (y-values) for a single input (x-value). For example, if you draw a vertical line through the center of a circle, it will intersect the circle at two points, showing that an x-value has more than one corresponding y-value.
Answer: 2 (Not a function)
Set of Points {( 1 , − 2 ) , ( − 2 , 0 ) , ( − 1 , 2 ) , ( 1 , 3 )} :
To determine if this set of points is a function, we check if any x-value corresponds to more than one y-value. Here, we see that the x-value 1 is paired with both -2 and 3.
Since there are repeated x-values with different y-values, this set of points is not a function.
Answer: 2 (Not a function)
In summary:
Graph of a circle: Not a function (2)
Set of points {( 1 , − 2 ) , ( − 2 , 0 ) , ( − 1 , 2 ) , ( 1 , 3 )} : Not a function (2)
