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Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.

g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)

Create a graph of the polynomial function you selected from Question 2.

see below

Step-by-step explanation:

g(x) = (x + 2)(x − 1)(x − 2)

The zeros are

0  = (x + 2)(x − 1)(x − 2)

Using the zero product property

x+2 = 0    x-1 =0    x-2=0

x= -2         x=1          x=2

The y intercept is when x=0

g(x) = (0 + 2)(0 − 1)(0 − 2)

       = 2 (-1) (-2)

       = 4

The y intercept is (0,4)

When x = - infinity

g(x) = (-infinity)(- infinity)(- infinity)

        = -infinity

When x =  infinity

g(x) = (infinity)( infinity)( infinity)

        = infinity

answer: what do you mean