Summary
Highlights
This unit covers fundamental concepts like defining functions, rate of change (slope), polynomials and their division, local and global extrema, zeros of functions, even and odd functions, end behavior (limits), rational functions with asymptotes and holes, and graph transformations. The video notes that this unit is largely a review of Algebra concepts and some information from AP Calculus.
Building on Algebra 2 topics, Unit 2 focuses on exponential and logarithmic functions. Students learn to graph, manipulate, and apply them in word problems. The unit also introduces inverse functions, axis scaling, and arithmetic/geometric sequences, again, mostly reviewing prior knowledge.
Considered the only important unit, Unit 3 brings back sine, cosine, and tangent from geometry, along with their inverse and reciprocal functions (secant, cosecant, cotangent). Memorizing the unit circle is key. This unit also includes polar functions and the polar plane.
Unit 4 is dismissed as being 0% of the AP exam and serves no meaningful purpose within the class. The video sarcastically suggests the only purpose of Unit 4 is to advise against taking the class.