Final answer:
The function f(x) = -x for -4≤x≤2 represents a linear function with a negative slope, and it is defined for values of x between -4 and 2, inclusive. The graph of the function will be a straight line descending from the point (-4, 4) to the point (2, -2).
Step-by-step explanation:
The student's question is asking about the function f(x) = -x when the variable x is restricted to the interval -4≤x≤2. This function represents a straight line with a negative slope, meaning as x increases, f(x) decreases.
The graph of this function would be a straight line descending from left to right, passing through the origin (0,0) if extended beyond the given domain.
For the interval given, each value of x simply needs to be multiplied by -1 to find the corresponding value of f(x). For example, if x = 2, then f(2) = -2.
The restriction of the domain indicates that we only consider the values of x that fall within -4 and 2, inclusive.