Algebra II Interpreting Functions


Interpreting Functions


Interpret functions that arise in applications in terms of the context. [Emphasize selection of appropriate models.]
HSF-IF.B.4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. tools-icon
HSF-IF.B.5. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. tools-icon
HSF-IF.B.6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. tools-icon
Analyze functions using different representations. [Focus on using key features to guide selection of appropriate type of model function.]
HSF-IF.C.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. tools-icon
b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. tools-icon
c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.  tools-icon
e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.  tools-icon
HSF-IF.C.8. Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.  tools-icon
HSF-IF.C.9. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).  tools-icon