By using the the given linear function rule, the INPUT/OUTPUT Table should be completed as follows;
| INPUT | | RULE | | OUTPUT |
0 y = -2(0)+1 1
1 y = -2(1)+1 -1
2 y = -2(2)+1 -3
3 y = -2(3)+1 -5
4 y = -2(4)+1 -7
In order to use the given linear function y = -2x + 1 to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows.
When the value of x is 0, the linear function is given by;
y = -2x + 1
y = -2(0) + 1
y = 1
When the value of x is 1, the linear function is given by;
y = -2x + 1
y = -2(1) + 1
y = -1
When the value of x is 2, the linear function is given by;
y = -2x + 1
y = -2(2) + 1
y = -3
When the value of x is 3, the linear function is given by;
y = -2x + 1
y = -2(3) + 1
y = -5
When the value of x is 4, the linear function is given by;
y = -2x + 1
y = -2(4) + 1
y = -7