Draw the graph of a rational function that is increasing for x< -4 and decreasing for x> -4 on the coordinate plane below

For a function to be increasing, as x goes up (to the right) the y value must go up at the same time (meaning that as the function goes to the right, the line goes up). Conversely, when a function is decreasing, as x goes up the y value must go down (as the line goes to the right, the line goes down). We can draw a line at x=-4 (one to the right of -5) and to the left of it, we can draw a line going up as x goes to the right and to the right of x=-4 we can draw a line going down. If you'd like a real example, take |1/(x+4)|. This works due to that since we know that 1/x decreases when x<0 (and is negative) and decreases when x>0, we can get the absolute value of it to make the side left of x=0 flip-flop to make it go up instead of down. In addition, the (x+4) makes the turning point at x=-4 due to that if we plug in x=-4, x+4=0