what is 4x^3-88x^2+480x

Question

graph the function

 

Answer 1

Since you want to find the maximum and minimum values, set the derivative of the function equal to zero.

 

12x² - 176x + 480 = 0

 

4(3x² - 44x + 120) = 0

 

3x² - 44x + 12 = 0

 

 

Use the quadratic formula to find the two x values.  Since we have a positive cubic function, the maximum value occurs at the smaller x value, and the minimum value occurs at the larger x value.