standard_description: Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^(2) + y^(2))^(2) = (x^(2 )– y^(2))^(2) + (2xy)^(2 )can be used to generate Pythagorean triples.
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]


aligns: no