options: 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.

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
problem_activity: Problem 1
Describe a characteristic that each of the quadrants shown below does not share with the rest.
[IMG]
You should have at least one characteristic for each quadrant.
Problem 2
Part 1:
Graph the following equation but ONLY over the domain listed.
$${y = -\frac{1}{2}x + 4}$$
,  where
$${x > 2}$$
Part 2:
Graph the following equation but ONLY over the domain listed (on the same coordinate plane).
$${y = -2x + 1}$$
, where
$${-2 < x \leq 2}$$
Problem 3
Write the equation for the piecewise function graphed below.
[IMG]


correct_option_index: 2