6. Let 8 (=) --3= (*+1) (x-1)
a) (1.5pts) Find all the zeros of g, state their multiplicities and the behavior of the graph at this point.
b) (1.Spts) Identify the end behavior of the graph of g.
c) (2pts) Use the information from parts (a) and (b) to carefully sketch a graph of & (5) by hand.
Questions Requiring Deeper Understanding
1. (2.5pts) Write a degree 5 polynomial function P(7) that only has the real numbers -2, 3 and 1 as roots.
The graph of P(*) should pass through the x-axis at the root of -2 but should not pass through the
*-axis at the roots of 3 and 1 (Writing a function in factored form is acceptable).
2. (2.Spts) Construct a polynomial inequality that has only 1 solution. Explain your answer and why it
works.