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ALGEBRA II HIGHER DEGREE FUNCTIONS AS MATHEMATICAL MODELS.

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Presentation on theme: "ALGEBRA II HIGHER DEGREE FUNCTIONS AS MATHEMATICAL MODELS."— Presentation transcript:

1 ALGEBRA II HIGHER DEGREE FUNCTIONS AS MATHEMATICAL MODELS

2 1) You must know 2 points to find the equation for a line and 3 points to find the equation for a quadratic. How many points do you think you need to know to find the equation for a cubic function? ANSWER : 4 points

3 Standard Form for a Cubic Equation y = ax 3 + bx 2 + cx + d 2) Find the particular equation of the cubic function containing the point (1, 3), (2, 4), (3, 25) and (4, 78). SOLUTION: 3 = a(1) 3 + b(1) 2 + c(1) + d 4 = a(2) 3 + b(2) 2 + c(2) + d 25 = a(3) 3 + b(3) 2 + c(3) + d 78 = a(4) 3 + b(4) 2 + c(4) + d

4 3 = a + b + c + d 4 = 8a + 4b + 2c + d 25 = 27a + 9b + 3c + d 78 = 64a + 16b + 4c + d Use the MATRIX menu of your graphing calculator to determine the solution. A -1 B

5 The solution is : y = 2x 3 – 2x 2 – 7x ) Find the particular equation for the cubic function containing (-5, -80), (-3, 0), (1, 16), (4, 91). SOLUTION: y = x 3 + x 2 - x + 15

6 This is the last lesson of the year. So, it can’t be long until…..


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