For the given piecewise function w(x), w(-8) is 5, and w(9) is 4, determined by the specified conditions for each interval in the piecewise definition.
To evaluate the function w(x), consider the given piecewise definition:
w(x) =
5 if x is less than or equal to -8
|5x - 5| if -8 < x is less than or equal to 4
4 if x is greater than 4
Now, find w(-8) and w(9):
For w(-8): According to the first case, when x is less than or equal to -8, w(x) is 5. Therefore, w(-8) is 5.
For w(9): In the third case, when x is greater than 4, w(x) is 4. Hence, w(9) is 4.
w(-8) is 5, and w(9) is 4. These values represent the outputs of the function for the respective input values, according to the defined cases.