g(x)=(x-3)(x+1)(x+2)

Question

Identify the x-intercepts (zeros), y-intercepts, and end behavior of the function.

Answer 1

zeros or x intercepts are x=3,-1 and -2, the points (3,0), (-1,0), (-2,0)

take each factor, set it =0, and solve for x

y intercepts are when x=0: -3(1)(2) = -6, the point (0,-6)

3 x intercepts, 1 y intercept

look at the highest degree term, the cubic term to see the end behavior

It's x^3. As x approaches infinity, g(x) approaches infinity,

as x approaches negative infinity, g(x) approaches negative infinity