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. Include problem-solving opportunities utilizing a real-world context. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Functions include linear, quadratic, exponential, polynomial, logarithmic, rational, sine, cosine, tangent, square root, cube root and piecewise-defined functions.

A2.F-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. Functions include linear, quadratic, exponential, polynomial, logarithmic, rational, sine, cosine, tangent, square root, cube root and piecewise-defined functions.

A2.F-IF.C.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. B. Use the properties of exponents to interpret expressions for exponential functions and classify those functions as exponential growth or decay.

6.01 Graphs and characteristics of exponential functions

Interactive practice questions

Outcomes

A2.F-IF.B.4

A2.F-IF.C.7

A2.F-IF.C.8

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