Graph the function ( f(x) = x^{3} - 6x^{2} + 9x + 15 ) and determine its x-intercepts.

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Step:1 ：Step 1: For graphing the function ( f(x) = x^{3} - 6x^{2} + 9x + 15 ), we need to plot a number of points and then connect them to get the general shape of the curve. To do this, we can choose a range of x-values and then compute the corresponding y-values.Step:2 ：Step 2: To find the x-intercepts, we need to solve the equation ( f(x) = 0 ). Therefore, we solve ( x^{3} - 6x^{2} + 9x + 15 = 0 ).

Answer

Step: 1 ：Step 1: For graphing the function ( f(x) = x^{3} - 6x^{2} + 9x + 15 ), we need to plot a number of points and then connect them to get the general shape of the curve. To do this, we can choose a range of x-values and then compute the corresponding y-values.Step: 2 ：Step 2: To find the x-intercepts, we need to solve the equation ( f(x) = 0 ). Therefore, we solve ( x^{3} - 6x^{2} + 9x + 15 = 0 ).

Graph the function \( f(x) = x^{3} - 6x^{2} + 9x + 15 \) and determine its x-intercepts.

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