Topic 1: Be able to combine functions and determine the resulting function. Topic 2: Be able to find the product of functions and determine the resulting.

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Presentation transcript:

Topic 1: Be able to combine functions and determine the resulting function. Topic 2: Be able to find the product of functions and determine the resulting function. Topic 3: Be able to perform multiple operations on functions. Topic 4: Determine if two given functions represent equivalent forms of the same function..

Example 1: (3x2 + 7x - 12) + (-2x2 - 8x + 5) I. Adding Polynomial Functions Adding Polynomials is as simple as adding like terms together. Example 1: (3x2 + 7x - 12) + (-2x2 - 8x + 5) 1x2 - 1x - 7 Example 2: (-7x2 + 15) + (5x - 6) -7x2 + 5x + 9 Example 3: (3x + 5x2 – 4x3) + (-2 - 8x3 + 5x) -12x3 + 5x2 + 8x - 2

Example 4: (5x2 - 4x + 3) - (6x2 - 3x + 2) II. Subtracting Polynomial Functions Example 4: (5x2 - 4x + 3) - (6x2 - 3x + 2) Distribute the subtraction sign to change the problem into an addition problem. (5x2 - 4x + 3) + (-6x2 + 3x - 2) -1x2 - 1x + 1 Example 5: (6x3 + 7x - 4) - (-8x2 + 4x - 9) (6x3 + 7x - 4) + (8x2 - 4x + 9) 6x3 + 8x2 + 3x + 5 Example 6: (4x + 3x3 – 2x2) - (7 + 6x3 + 4x) (4x + 3x3 – 2x2) + (-7 - 6x3 - 4x) -3x3 -2x2 - 7