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
A piecewise function is shown below.
[IMG]
Describe:
where the graph changes behavior
the domain that represents each behavior of the graph
the different rates of change
what happens at
$${ x=1}$$
how the graph would change if
$${ f(x)=3}$$
for
$${-3≤x≤1}$$
Problem 2
Graph the following piecewise function.
[IMG]
Problem 3
Write a piecewise function to represent the graph below. Use function notation.
[IMG]


correct_option_index: 0