Question

# Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros...

Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros of the polynomial, plotting sufficient solution points, and drawing a continuous curve through the points.

g(x) = 1/10(x + 1)2(x − 4)3

(a) Apply the Leading Coefficient Test.

The graph of the function rises to the left and rises to the right.

The graph of the function rises to the left and falls to the right.

The graph of the function falls to the left and rises to the right.

The graph of the function falls to the left and falls to the right

(b) Find the real zeros of the polynomial. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

x =

(c) Plot sufficient solution points. (Round your answers to one decimal place.)

x g(x)
−2
−1
0
1
2
3

(d) Draw a continuous curve through the points.

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