60 points & Brainliest! (Please show all steps)

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

a1) Find the zeros of the function.
a2) Show How you found the Zeros

b1) Find the y-intercept of the function.
b2) Show your work

c) Create the graph of the polynomial.
D) Describe the end behavior of the graph.

See below .

Step-by-step explanation:

This is a cubic function whose graph will contain 2 loops.

a)  (x + 2)(x - 1)(x - 2) = 0

Since this a product of 3 terms and the result is zero all 3 could be  zero so we have:

x + 2 = 0, x - 1 = 0 or x - 2 = 0

So the zeroes are -2, 1 and 2.

b) the y -intercept occurs when x = 0 , so substituting for x:

y-intercept =   (0 + 2)(0 - 1)(0 - 2) = 2*-1*-2 =  4 = y coordinate of the y-intercept

y-intercept  is at (0, 4).

c)  Plot the points  (-2, 0), ( 1, 0), ( 2, 0) and (0, 4).

Also I suggest you  you plot  some points (-1, 6) and  (1.5 , -0.9) where the graph will  have loops.

d) As the leading coefficient  is positive  the graph will fall to the left and rise to the right.

just took the test and my answers down below!

step-by-step explanation:

check the pic :

b and c are the correct answers.

good luck on the quiz! : d