GRAPHING CUBIC, SQUARE ROOT AND CUBE ROOT FUNCTIONS.

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GRAPHING CUBIC, SQUARE ROOT AND CUBE ROOT FUNCTIONS

43210 In addition to level 3.0 and above and beyond what was taught in class, the student may: - Make connection with other concepts in math. - Make connection with other content areas. Students will be able to construct, compare, and analyze function models and interpret and solve contextual problems. Function models: - absolute value - square root - cube root - piecewise Analyze multiple representations of functions using: - Key features - Translations - Parameters/limits of domain Students will be able to construct and compare function models and solve contextual problems. Function models: - linear - exponential - quadratic Illustrate the graphical effects of translations on function models using technology. With help from the teacher, the student has partial success with the unit content. Even with help, the student has no success with the unit content. Focus 11 - Learning Goal: Students will be able to construct, compare and analyze function models and interpret and solve contextual problems.

Use your calculator to create a table of values of the following equations. xy = x 2 4 2 0 -2 -4 x 4 2 0 -2 -4 16 4 4 0 2 1.41 0 Error

xy = x 2 4 2 0 -2 -4 x 4 2 0 -2 -4 16 4 4 0 2 1.41 0 Error

 What similarities and differences do you see between these two graphs?  Both graphs intersect at (0, 0) and (1, 1)  The square root function is a reflection of the part of the quadratic function in the first quadrant, about y = x (when x is positive).  One opens up and one goes to the right….  Why do they intersect at (0, 0) and (1, 1)? y = x 2

xy = x 3 -8 -2 0 1 2 8 x -8 -2 0 1 2 8 -512 1 -8 0 512 8 -2 -1.26 0 1 1.26 2

y = x 3

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