MA.1 Students analyze relations, functions and their graphs.
MA.1.1 Describe characteristics of functions, and translate among verbal, numerical, graphical, and symbolic representations of functions, including polynomial, rational, power, trigonometric, exponential, logarithmic, and piece-wise functions;
MA.1.2 Describe the behavior of a function including domain, range, intercepts, zeros, boundedness and unboundedness, extrema, intervals of increasing and decreasing values, and discontinuity and connect these concepts to functions represented graphically and numerically;
MA.1.7 Relate the slope of a tangent line at a specific point on a curve to the instantaneous rate of change. Explain the significance of a horizontal tangent line. Apply these concepts to the solution of problems;
MA.1.8 Determine the inverse of a given function and describe its graph;
MA.1.9 Students are familiar with the notion of the limit of a sequence and the limit of a function as the independent variable approaches a number or infinity. They determine whether certain sequences converge or diverge.
MA.2.5 Describe, interpret, and predict the effects of the parameters a, b, and c have on period, amplitude, and phase shift for the graph of y = a sin(b(x - c)); similarly for the cosine and tangent;.
MA.2.7 Solve problems involving applications of trigonometric functions including those that require the use of angle sum and difference formulas, half-angle formulas and double-angle formulas for sines, cosines, and tangents;