Analyze functions using different representations.

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

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

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

use function notation, evaluate functions for inputs in their domains and interpret statements that use function notation in terms of a context.

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.

compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Analyze functions using different representations

Analyze functions using different representations.