Which of the following statements is/arw NOT true about the behavior of the curve x³-6x²+11x-y=6? Hint: Express y as a function of x; that is, y = f(x)  (Select all that apply.) Option 1: At the extreme left, curve is below the x-axis.  Option 2: The value of y is negative ar thw extreme left of the curve then changes its sign when crosses the y-axis.  Option 3: As the value of x increases indefinitely and positive in sign, y becomes large in magnitude but negative in sign.  Option 4: The curve is above the x-axis for any values of x in the interval (1,2) because one factor of f(x) is positive and the other two factors are negative

I hope this would not take an hour to answer. Answer with complete solutions and graph. Thank you. 

Which of the following statements is/arw NOT true about the behavior of the curve x³-6x²+11x-y=6? Hint: Express y as a function of x; that is, y = f(x) 

(Select all that apply.)

Option 1: At the extreme left, curve is below the x-axis. 

Option 2: The value of y is negative ar thw extreme left of the curve then changes its sign when crosses the y-axis. 

Option 3: As the value of x increases indefinitely and positive in sign, y becomes large in magnitude but negative in sign. 

Option 4: The curve is above the x-axis for any values of x in the interval (1,2) because one factor of f(x) is positive and the other two factors are negative.