Final answer:
The value of y when x = -7 can be found by substituting x = -7 into the given function. The correct answer is 9.
Step-by-step explanation:
The value of y when x = -7 is 9. The correct answer is option a) 9.
The function w associates specific values for certain inputs. Given that w(9)=−7 and w(−7)=9, this implies that when the input x is 9, the output or value of the function is -7, and when x is -7, the output is 9.
We're asked to find the value of y when x=−7, where y=w(x). According to the function values given, when x=−7, the function w outputs 9. Therefore, in the context of y=w(x), when x=−7, the value of y is y=9. This corresponds to the specific output of the function
w for the given input x=−7. Thus, y equals 9 when x=−7 in the function w.