Use the function rule to complete the table.
-10×+y=4
X -2 -1 0 1 2
Y
X -2 -1 0 1 2
Y 8 5 2 -1 -4
To complete the table using the function rule -10x + y = 4, we can substitute each given value of x into the equation and solve for y.
For x = -2:
-10(-2) + y = 4
20 + y = 4
y = 4 - 20
y = -16
For x = -1:
-10(-1) + y = 4
10 + y = 4
y = 4 - 10
y = -6
For x = 0:
-10(0) + y = 4
0 + y = 4
y = 4
For x = 1:
-10(1) + y = 4
-10 + y = 4
y = 4 + 10
y = 14
For x = 2:
-10(2) + y = 4
-20 + y = 4
y = 4 + 20
y = 24
Completing the table, we have:
X -2 -1 0 1 2
Y -16 -6 4 14 24
To complete the table using the given function rule, -10x + y = 4, you need to substitute each value of x into the equation and then solve for y. Let's do it step by step.
1. For x = -2:
-10(-2) + y = 4
20 + y = 4
y = 4 - 20
y = -16
2. For x = -1:
-10(-1) + y = 4
10 + y = 4
y = 4 - 10
y = -6
3. For x = 0:
-10(0) + y = 4
0 + y = 4
y = 4
4. For x = 1:
-10(1) + y = 4
-10 + y = 4
y = 4 + 10
y = 14
5. For x = 2:
-10(2) + y = 4
-20 + y = 4
y = 4 + 20
y = 24
Now, let's fill in the values for y in the table:
X -2 -1 0 1 2
Y -16 -6 4 14 24