Be as detailed as possible

polynomial expression and Function

Pre-cal 12

2. The leading coefficient is the coefficient of the term with the highest power. For example for y = -3x5 + 12x2 3x + 12 the leading degree is -3. Sketch the following functions a) y=1x2 b)y=2x3-3x2+1 c)y=2x4x d)y=-3x5+2x2 e)y=3x2+2x1 f)y=1x3 What conclusions can you draw about the behaviour of the graph for large values of x when the leading coefficient is i) positive ii) negative? What can you say about the shape of functions with i) odd degree ii) even degree