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Math

Mississippi Math

Integrated Mathematics III: Functions: Interpreting Functions (F-IF)

Interpret functions that arise in applications in terms of the context

F-IF.4

Partially covered
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.

F-IF.6

Fully covered
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.

Analyze functions using different representations

F-IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F-IF.7.a

Partially covered
Graph functions (linear and quadratic) and show intercepts, maxima, and minima.

F-IF.7.b

Mostly covered
Graph square root and piecewise-defined functions, including absolute value functions.

F-IF.7.c

Fully covered
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

F-IF.7.d

Fully covered
Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

F-IF.7.e

Mostly covered
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

F-IF.9

Fully covered
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.