2023-2025 Catalog

MATH 105 Precalculus II

Presents trigonometric, polynomial and rational functions in their multiple representations and their use as models for concrete applications. Deepens the exploration and application of transformations, compositions and inverse of a function begun in MATH 103. Prerequisite: C or better in MATH 103 or placement test. (NS, QS)




  1. Define and recognize functions in their multiple representations (equations, tables, graphs), compose and evaluate them
  2. Use functions to create a mathematical model for a realistic situation, state a reasonable domain for the situation
  3. Recognize characteristics (including domain, range, intercepts, and asymptotes) of the graphs of trigonometric, inverse trigonometric, polynomial, and rational functions.
  4. Use knowledge of f(x) to describe or sketch the graph of y = a*f(b(x + c)) +d
  5. Represent, describe, and apply fundamental trigonometric relationships on the unit circle, in a right triangle, and as functions
  6. Develop strategies to solve trigonometric equations and inequalities using trigonometric identities
  7. Find or estimate the equation of a trigonometric, polynomial, or rational function given its graph