x −2-2 −1-1 0 1 2
y
Use the function rule to complete the table.
−10x+y=4
y=-10x+4
To find the values of y that correspond to the given values of x, we can substitute each value of x into the equation -10x + y = 4 and solve for y.
Let's substitute the values of x one by one:
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
Therefore, the completed table is:
x -2 -1 0 1 2
y -16 -6 4 14 24
To complete the table using the function rule -10x + y = 4, we substitute the given values of x into the equation and solve for y.
Given x values: -2, -1, 0, 1, 2
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
Now, we can complete the table:
x -2 -1 0 1 2
y -16 -6 4 14 24