Which set of output values correctly complete the function table?
A) 8,2-12
B) 8,0,12
C) 8,0,-12
D) -8, 0 12
Answers to pick from up top.
y=2x - 4
To complete the function table, we need to substitute the given input values into the function y=2x-4 to find the corresponding output values.
Let's start with the given input value of x=2.
y=2(2)-4 = 0
So the output value for x=2 is 0.
Next, we try x=0.
y=2(0)-4 = -4
So the output value for x=0 is -4.
Similarly, we can calculate the output value for x=-6 as follows:
y=2(-6)-4 = -16
Therefore, the set of output values that correctly complete the function table is:
C) 8,0,-12
To complete the function table for the equation y=2x-4, you need to substitute different values of x and calculate the corresponding values of y.
Let's work through the options to determine which set of output values correctly completes the function table:
A) 8, 2, -12
When x=8, y=2(8)-4 = 16-4 = 12. This satisfies the equation.
When x=2, y=2(2)-4 = 4-4 = 0. This satisfies the equation.
When x=-12, y=2(-12)-4 = -24-4 = -28. This does not satisfy the equation.
B) 8, 0, 12
When x=8, y=2(8)-4 = 16-4 = 12. This satisfies the equation.
When x=0, y=2(0)-4 = 0-4 = -4. This does not satisfy the equation.
When x=12, y=2(12)-4 = 24-4 = 20. This does not satisfy the equation.
C) 8, 0, -12
When x=8, y=2(8)-4 = 16-4 = 12. This satisfies the equation.
When x=0, y=2(0)-4 = 0-4 = -4. This satisfies the equation.
When x=-12, y=2(-12)-4 = -24-4 = -28. This satisfies the equation.
D) -8, 0, 12
When x=-8, y=2(-8)-4 = -16-4 = -20. This does not satisfy the equation.
When x=0, y=2(0)-4 = 0-4 = -4. This satisfies the equation.
When x=12, y=2(12)-4 = 24-4 = 20. This satisfies the equation.
From the analysis above, we can see that only option C) 8, 0, -12 correctly completes the function table for the equation y=2x-4.