Question

Which of the following is a function?

A. (-2,0),(6,-3),(6,22),(10,96)
B. (-2,0),(10,-3),(6,22),(10,96)
C. (-2,0),(1,-3),(6,22),(10,96)
D. (-2,0),(1,-3),(6,22),(1,96)

Answer 1

C

Explanation:

Relationship between independent variable and dependent variable: each x corresponds to only one y, but y can each correspond to multiple x (which is why there are multiple solutions of an equation, and a solution can only launch a counter-argument )

A, 6 -> - 3,22.6 (x) corresponding to the two y. C options and only one for each of x y.

Answer 2

Answer: C

Explanation:

In order to be a function, you canNOT have any duplicate x's.

A) x = -2, 6, 6, 10 --> 6 is used twice so it is not a function

B) x = -2, 10, 6, 10 --> 10 is used twice so it is not a function

C) x = -2, 1, 6, 10 --> all the x's are different. This is a function!!!

D) x = -2, 1, 6, 1 --> 1 is used twice so it is not a function