• Find and use the slope of a line to write and graph linear functions.

• Determine if a relationship represents a function.

• Evaluate functions and find their domain and range.

• Graph the basic parent functions; including linear, absolute value, quadratic, square root, cube root, with and without the use of technology.

• Create models and use arguments to help in solving real life problems.

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• Analyze the graph and identify positive and negative values of y.

• Find the zeros of the functions. Identify increasing and decreasing intervals.

• Find the maximum and minimum of the functions in a given interval.

• Identify even and odd functions

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• Analyze the effect of the coefficients on the graph of a function.

• Identify horizontal and vertical shifts.

• Identify reflections and non-rigid transformations to the graph.

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• Find arithmetic combinations and compositions of functions.

• Find inverse functions.

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• Find the coordinate of the vertex.

• Write the quadratic functions in both forms.

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• Find all the zeros of the polynomial function including complex zeros.

• Find the conjugate of a complex zero.

• Factor polynomial functions.

• Use Descartes rule of signs and the leading coefficient test to determine the number of zeros.

• Identify intervals where the function is

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• Divide polynomials using long and synthetic divisions.

• Remainder theorem

 

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• Find horizontal and vertical asymptotes.

• Find slanted asymptotes.

• Analyze the function as x approaches the vertical asymptotes.

• Create models and use arguments to help in solving real life problems