Question

instructions
use the table to answer the questions.
classify a table
14 multiple answers 2 points
which of these points, if added to the table, would make it not a function?
select all that apply
(1, 7)
(0, 0)
(3, 7)
(2, 8)
(2, -6)
(1, 3)

Explanation:

To determine which points would make the table not a function, we recall the definition of a function: each input (x - value) must have exactly one output (y - value). So we check each point:

Step 1: Analyze the existing table

The existing x - values are - 1, 0, 1, 2. The corresponding y - values are - 5, - 2, 1, 4 respectively.

Step 2: Check point (1,7)

The x - value 1 already has a y - value of 1 in the table. If we add (1,7), the x - value 1 will have two different y - values (1 and 7), so this point will make it not a function.

Step 3: Check point (0,0)

The x - value 0 already has a y - value of - 2 in the table. If we add (0,0), the x - value 0 will have two different y - values (-2 and 0), so this point will make it not a function.

Step 4: Check point (3,7)

The x - value 3 is not in the existing table. So adding (3,7) will not violate the function definition (since 3 will have only one y - value, 7).

Step 5: Check point (2, 10)

The x - value 2 already has a y - value of 4 in the table. If we add (2,10), the x - value 2 will have two different y - values (4 and 10), so this point will make it not a function.

Step 6: Check point (2, - 6)

The x - value 2 already has a y - value of 4 in the table. If we add (2, - 6), the x - value 2 will have two different y - values (4 and - 6), so this point will make it not a function.

Step 7: Check point (1,3)

The x - value 1 already has a y - value of 1 in the table. If we add (1,3), the x - value 1 will have two different y - values (1 and 3), so this point will make it not a function.

Answer:

(1,7), (0,0), (2,10), (2, - 6), (1,3)