Question

Is this a function?

(5,4),(3,10),(1,16),(3,8),(-1,6)
X input: 9 7 5 3 1
Y output: 1 2 3 4 5

Answer 1

The set of points (5,4), (3,10), (1,16), (3,8), (-1,6) does not represent a function because the x-value 3 is associated with two different y-values. However, the input-output pairs of (9, 1), (7, 2), (5, 3), (3, 4), and (1, 5) do form a function as each input has a unique output.

Step-by-step explanation:

To determine if a list of points represents a function, we need to check that each x-value is paired with exactly one y-value. In this case, the list of points given is (5,4), (3,10), (1,16), (3,8), (-1,6). Here, we notice that the x-value 3 is paired with two different y-values (10 and 8), which violates the definition of a function. Therefore, this set of points does not represent a function.

Functions have a unique y-value output for each x-value input. The second part of the question refers to a table where inputs of 9, 7, 5, 3, and 1 correspond to outputs of 1, 2, 3, 4, and 5, respectively. Since each input has a unique output, this part of the set does represent a function.