Which table represents a linear function?
x y
0 1
1 3
2 -3
3 -1
x y
0 0
1 1
2 4
3 9
x y
0 0
1 -1
2 4
3 -9
x y
0 3
1 1
2 -1
3 -3
Which table represents a linear function?
Share
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
To determine which table represents a linear function, we need to check if the relationship between ( x ) and ( y ) is consistent and has a constant rate of change (slope).
1. Table 1:
– ( (0, 1), (1, 3), (2, -3), (3, -1) )
– The changes in ( y ) are not constant: ( 2, -6, +2 ) (not linear).
2. Table 2:
– ( (0, 0), (1, 1), (2, 4), (3, 9) )
– The changes in ( y ) are: ( 1, 3, 5 ) (not linear).
3. Table 3:
– ( (0, 0), (1, -1), (2, 4), (3, -9) )
– The changes in ( y ) are inconsistent: ( -1, 5, -13 ) (not linear).
4. Table 4:
– ( (0, 3), (1, 1), (2, -1), (3, -3) )
– The changes in ( y ) are: ( -2, -2, -2 ) (constant slope of -2, which is linear