f(x) = x 2 (x 1)(x 3). a. Sketch the graph of y = f(x).

Question:

f(x) = x2(x – 1)(x – 3).

a. Sketch the graph of y = f(x).

b. On the same axes, draw the line y = 2 – x.

c. State the number of real solutions to the equation x2(x – 1)(x – 3) = 2 – x.

d. Write down the coordinates of the point where the graph with equation y = f(x) + 2 crosses the y-axis.

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