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Final Exam – Part 1 – Functions It covers:polynomial (constant, linear, quadratic, and cubic) functions – Ch 6exponential and logarithmic functions – Ch 7and periodic functions (sine and cosine) – Ch 8I am ready to write the Final Exam – Part 1 if:I can recognize and describe the characteristics of the functions listed above by: analyzing the graph.analyzing the equation.Terms: I understand what each term listed below represents. I can explain and describe each of these terms with respect to a polynomial, exponential, logarithmic and/or periodic functions - x and y intercepts- domain and range (using proper set notation)- end behaviour- turning point(s)- leading coefficient- degree of a polynomial function- line of best fit- curve of best fit- regression function- interpolation- extrapolation- exponential growth and decay- amplitude - midline- periodGiven a series of equations, I can match the equations to their corresponding graphs. RegressionGiven a data set, I can graph the data and determine the line and function of best fitI know the function that models the data is an approximation or an estimate and the regression function can be used to make predictions about the data (i.e. interpolation and extrapolation) Study Notes:I can recognize and write a polynomial functions equation and graph for:a degree zero f(x) = a x0a degree one f(x) = mx1 + ba degree two f(x) = ax2 + bx + ca degree three f(x) = ax3 + bx2 + cx + d I know what a, m, b, c and d representb. I can recognize an exponential function. - f(x) = a(b)x - I know what a, b and x representc. I can describe exponential growth and decay in words, by an equation and with a picture (graph)d. I can recognize a logarithmic function. - f(x) = a log b x - I know what a, b and x representd. I know the general form of a logarithmic regression model is:y = (constant) + (multiplier) . ln xIn a graphing calculator, is in the form:Y = a + b ln xe. I know the relationship between degrees and radians of a circle.f. I can recognize a sinusoidal function. - f(x) = sin (x) OR f(x) = cos (x)g. Given a contextual word problem, I can use technology – like a graphing calculator or computer program like EXCEL – to represent the data in a graphical format. Use the data in a graph format, I can interpret the data and the graph to determine line of best fit and the function that best matches the data. I can then use that function to answer additional questions. I can explain my choice(s) / rationale using mathematical reasoning. ................
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