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

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). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
problem_activity: Problem 1
Show students Graph 21 from
Which One Doesn't Belong: Graphs and Equations
.
Problem 2
Do this Desmos activity,
Sine Transformations
, with students.
Problem 3
Write both a sine and cosine function that model the graph shown below.
[IMG]


correct_option_index: 0