Final answer:
The function N(x)=6x+2 has no negative intervals and its end behavior is such that y approaches infinity as x does. The function y=-4 is a horizontal line with no positive or negative intervals, and its end behavior is constant. The function m(x) = -5x-10 has no positive intervals, and as x approaches infinity, y approaches negative infinity.
Step-by-step explanation:
When discussing N(x)=6x+2, y=-4, and m(x) = -5x-10, there are several aspects that we need to address including the positive and negative intervals for each equation and their end behaviors. For the linear functions, the slope of the equation determines the intervals and end behavior.
For N(x)=6x+2, the slope is positive. Therefore, the graph moves upward as it moves to the right, which means it has no negative intervals. The end behavior is such that as x goes to infinity, y will also go to infinity, and as x goes to negative infinity, y will go to negative infinity.
The equation y=-4 represents a horizontal line, so there are no positive or negative intervals; it doesn't increase or decrease. The end behavior of this horizontal line is that y remains at -4 as x approaches both positive and negative infinity.
For m(x) = -5x-10, the slope is negative. Hence, the graph will move downward as it moves to the right. The positive interval is absent as the negative slope means the values for y will always decrease, making the function always negative when x is positive. As x goes to infinity, y goes to negative infinity, and vice versa.