Final answer:
The range {−2,0,2,6} does not correctly correspond to the domain {−1,0,1,2} for the function y=2x, as the output for x=2 is 4, not 6. Therefore, the statement is False.
Step-by-step explanation:
The question asks whether the function y=2x produces the range {−2,0,2,6} given the domain {−1,0,1,2}. We evaluate the function for each value in the domain:
- For x = -1, y = 2(-1) = -2
- For x = 0, y = 2(0) = 0
- For x = 1, y = 2(1) = 2
- For x = 2, y = 2(2) = 4
Comparing the results to the given range, we see that the value '6' does not match the output for any x value in the domain. Therefore, the provided range is incorrect. The correct range for the given domain {−1,0,1,2} should be {−2,0,2,4}. The correct option is b) False.