Standard(s):
[MA2019] MOD-19 (9-12) 15 : 15. Use regression with statistical graphing technology to determine an equation that best fits a set of bivariate data, including nonlinear patterns.
Examples: global temperatures, stock market values, hours of daylight, animal population, carbon dating measurements, online streaming viewership
a. Create a scatter plot with a sufficient number of data points to predict a pattern.
b. Describe the overall relationship between two quantitative variables (increase, decrease, linearity, concavity, extrema, inflection) or pattern of change.
c. Make a prediction based upon patterns.
[MA2019] PRE-19 (9-12) 26 : 26. Graph functions expressed symbolically and show key features of the graph, by hand and using technology. Use the equation of functions to identify key features in order to generate a graph.
a. Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
b. Graph trigonometric functions and their inverses, showing period, midline, amplitude, and phase shift.
[MA2019] PRE-19 (9-12) 27 : 27. Compose functions. Extend to polynomial, trigonometric, radical, and rational functions.
Example: If T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
