Graph of a polynomial function, xy-plane.  Horizontal axis, scale -6 to 5 by 1’s. Vertical axis, scale -30 to 20, by 10’s. Function starts as increasing in Quadrant 3 and ends as increasing in Quadrant 1. The function has roots that are increasing through (-5 comma 0), decreasing through (-1 comma 0) and increasing through (3 comma 0). The function has a local maximum at (0 comma 8), local minimum at (3 comma -4) and intercepts the y-axis at (0 comma -15).

Graph of a polynomial function, xy-plane.  Horizontal axis, scale -6 to 5 by 1’s. Vertical axis, scale -30 to 20, by 10’s. Function starts as increasing in Quadrant 3 and ends as increasing in Quadrant 1. The function has roots that are increasing through (-5 comma 0), decreasing through (-1 comma 0) and increasing through (2 comma 0). The function has a local maximum at about (-3 point 5 comma 20), local minimum at about (point 7 comma -12 point 5) and intercepts the y-axis at (0 comma -10).

Graph of a polynomial function, xy-plane.  Horizontal axis, scale -6 to 5 by 1’s. Vertical axis, scale -30 to 20, by 10’s. Function starts as increasing in Quadrant 3 and ends as increasing in Quadrant 1. The function has roots that are increasing through (-4 comma 0), decreasing through (-1 comma 0) and increasing through (2 comma 0). The function has a local maximum about (-2 point 5 comma 10) and a local minimum at (point 5 comma -10).