From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
When we start squaring things, graphs start to get interesting. Instead of just being straight lines, we start seeing curves. Functions with exponents often tend to be moody. They either see the glass half empty, or half full, depending on how they're feeling. There are lots of positives and negatives going around here. So many, that we'll start to get really good at drawing these: ±.
What happens when we throw a <, >, ≥, or ≤ into the mix? These graphs are more than pretty pictures. Or so we've been told.