Question

Determine whether each data set represents a function. Part A and B

Answer 1

Part A - Represents a function

Part B - Doesn't represent a function.

Explanation:

A set is just a list of numbers to check. The question is asking you based on the set...

(-5, 8)

(-6, 2)

(-2, -6)

(-1, 8)

(4,6)

if it is a valid function.

At NO point should a function have multiple x values. This fails the Vertical Line Test if visualized on a graph.

For Part A, there are no duplicate x values, meaning this function is valid.

For Part B, there is a duplicate x value - (2,9) & (2,4). Because of this, immediately the function is invalid. There can not be any duplicate x values in a valid function, PERIOD. If graphed, it fails the vertical line test.