standard_description: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
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]


aligns: no