Sketch the graph of the given function by determining the appropriate informatio

Question

Sketch the graph of the given function by determining the appropriate information and points from the first and second derivatives. y = x3 - 3x2 - 105x What are the coordinates of the relative maxima? Select the correct choice below and. if necessary, till 111 the answer box to complete your choice. (Simplify your answer Type an ordered pair. Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed.) There is no maximum What are the coordinates of the relative minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed) There is no minimum. What are the coordinates of the points of inflection? Select the correct choice below and. if necessary, fill in the answer box to complete your choice. (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) There are no inflection points. Choose the correct graph below.

Explanation / Answer

dy/dx = 3x*x - 6x -105 = 0

x*x - 2x - 35 = 0

(x-7)*(x+5) = 0

x = -5 ,7

y'' = 2x - 2  

x = -5 maxima , x = 7 minima

2x-2 = 0   => x=1 inflection

d) is right graph as value at x=0 is 0

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