Math:
which set of output values correctly complete the function table?
Y= 2x- 4
Input (x) Output (y)
6 ?
2 ?
-4 ?
8, 2, -12
8, 0,12
- 8, 0 12
18, 0, -12
To complete the function table for the equation y = 2x - 4, we need to substitute the given input values into the equation to find the corresponding output values.
Let's calculate the output values step-by-step:
For the input x = 6:
y = 2(6) - 4 = 12 - 4 = 8.
For the input x = 2:
y = 2(2) - 4 = 4 - 4 = 0.
For the input x = -4:
y = 2(-4) - 4 = -8 - 4 = -12.
Therefore, the set of output values that correctly completes the function table is:
Y = 8, 0, -12.
To complete the function table for the given function Y = 2x - 4, we need to substitute the given input values of x into the function to find the corresponding output values of y.
Let's go through each set of input values one by one:
1) Input (x) = 6:
To find the output (y) for x = 6, substitute x = 6 into the function:
Y = 2(6) - 4 = 12 - 4 = 8
2) Input (x) = 2:
To find the output (y) for x = 2, substitute x = 2 into the function:
Y = 2(2) - 4 = 4 - 4 = 0
3) Input (x) = -4:
To find the output (y) for x = -4, substitute x = -4 into the function:
Y = 2(-4) - 4 = -8 - 4 = -12
Comparing the calculated output values with the options provided:
a) 8, 2, -12: This matches the calculated output values, so it correctly completes the function table.
b) 8, 0, 12: This does not match the calculated output values.
c) -8, 0, 12: This does not match the calculated output values.
Therefore, the correct set of output values that completes the function table is 8, 2, and -12.