Question

1) Erin claims that she can add any point to theset and have the set still represent a function.{(3,-3), (5,0),(-1,4),(-6,7)}Which of the following points can be used toshow that Erin's claim is incorrect?Select all that apply.A. (-6,1)B. (-1,9)C. (0,5)D. (1,7)E. (3,-2)

Answer 1

We need to remember that a function is a relation between two variables in such a way that the INDEPENDENT variable has EXACTLY one DEPENDENT variable.

Therefore, if we add pairs of numbers to the set, we need to be sure that the value for x must have only, and only one dependent variable. Then, if we add to the set the following points:

(-6,1), (-1, 9), and (3, -2), we have two values for x = -6, x = -1, and x = -2.

And in this case, we do not have a function.

Then, if we add the values to the given set:

(-6,1), (-1, 9), and (3, -2) show that Erin's claim is incorrect.