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← College Algebra
Semester 2

Functions That Model the World

You go deeper into functions -- lines, parabolas, polynomials, rational, exponential and logarithmic -- and learn to change, combine and solve with them, so you can describe real situations. Claude Code checks every step with you.

Class 1

Linear functions and slope

Straight-line functions, and what their slope tells you.

Class 2

Transformations of functions

Shifting, flipping and stretching a graph.

Class 3

Combining functions and inverses

Putting functions together, and undoing them.

Class 4

Quadratic functions and parabolas

The U-shaped graph and where its top or bottom is.

Class 5

Polynomial functions

Graphs of higher powers, and how they behave.

Class 6

Dividing polynomials and finding zeros

Splitting a polynomial to find where it equals zero.

Class 7

Rational functions

Functions that are one polynomial over another.

Class 8

Exponential functions

Growth and decay that speeds up as it goes.

Class 9

Logarithmic functions

The inverse of an exponential, and what it answers.

Class 10

Log rules and solving equations

The rules that make logs useful, and solving with them.

Class 11

Systems of equations

Solving two equations that must both be true.

Class 12

Final review: modeling with functions

Using everything to describe and solve real problems.