standard_description: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
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