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. ^Emphasize selection of appropriate models

F.IF.5^

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. ^Emphasize selection of appropriate models

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.7e^

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. ^Focus on using key features to guide selection of appropriate type of model function

F.IF.8^

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. ^Focus on using key features to guide selection of appropriate type of model function

6.01 Graphs and characteristics of exponential functions

Interactive practice questions

Outcomes

F.IF.4^

F.IF.5^

F.IF.7

F.IF.7e^

F.IF.8^

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