f(x)=(3-x)^2 (x^2-4) a. roots and multiplicities b. tendancies/end behaviors c. number of curves d. y-intercept e. sketch the graph

Answer 1

x=3 is a root with multiplicity 2

2 and -2 are roots

four roots, 2,3,3, and -2

y intercept is -36

the graph is "W" shaped with no global maximum

local maximum should be somewhere between x=2 and x=3

local and global minimums should be somewhere between x=

-3 and 2, and a 2nd minimum at (3,0)

the repetitive root at x=3 means the graph doesn't cross

the x axis but is tangent to the x-axis, just touching it before

it changes direction and goes up again forever.