Question

Question 1(Multiple Choice Worth 2 points)

(Identifying Functions LC)

Which of the following tables represents a relation that is a function?


x y
3 −2
3 −1
3 0
3 2
3 2

x y
−3 3
−1 3
0 3
0 −3
2 3

x y
−4 −3
−3 1
−2 −4
1 1
1 −2

x y
−2 0
−1 2
0 1
2 0
5 2

Answer 1

Table 4 is correct.

Explanation:

A function is a relation where every x value corresponds to only one y value. i.e it passes the vertical line test. If a vertical line passes through the x value, it will only intersect with one y value.

Therefore, table (1) is incorrect as it shows the x value 3, corresponding to 4 different y values.

Table (2) is incorrect as it shows the x value (0), corresponding to 2 different y values.

Table (3) is incorrect as it shows the x value (1), corresponding to 2 different y values.

Table (4) is correct as it shows each x value corresponding to a different y value.