## Functions

- A.1Find values of functions from graphs
- A.2Add, subtract, multiply, and divide functions
- A.3Composition of functions
- A.4Identify inverse functions
- A.5Find values of inverse functions from tables
- A.6Find values of inverse functions from graphs
- A.7Find inverse functions and relations

## Families of functions

- B.1Function transformation rules
- B.2Translations of functions
- B.3Reflections of functions
- B.4Dilations of functions
- B.5Transformations of functions
- B.6Describe function transformations

## Trigonometric functions

- C.1Convert between radians and degrees
- C.2Quadrants
- C.3Coterminal and reference angles
- C.4Find trigonometric ratios using right triangles
- C.5Find trigonometric ratios using the unit circle
- C.6Find trigonometric ratios using reference angles
- C.7Inverses of trigonometric functions
- C.8Find properties of sine functions
- C.9Write equations of sine functions from graphs
- C.10Write equations of sine functions using properties
- C.11Graph sine functions
- C.12Find properties of cosine functions
- C.13Write equations of cosine functions from graphs
- C.14Write equations of cosine functions using properties
- C.15Graph cosine functions
- C.16Graph sine and cosine functions

## Exponential and logarithmic functions

- D.1Domain and range of exponential and logarithmic functions
- D.2Convert between exponential and logarithmic form
- D.3Evaluate logarithms
- D.4Change of base formula
- D.5Product property of logarithms
- D.6Quotient property of logarithms
- D.7Power property of logarithms
- D.8Evaluate logarithms using properties
- D.9Describe linear and exponential growth and decay

## Introduction to limits

## Calculate limits

- F.1Find limits using addition, subtraction, and multiplication laws
- F.2Find limits using the division law
- F.3Find limits using power and root laws
- F.4Find limits using limit laws
- F.5Find limits of polynomials and rational functions
- F.6Find limits involving factorization and rationalization
- F.7Find limits involving absolute value functions
- F.8Find limits involving trigonometric functions

## Limits involving infinity

- G.1Find limits at vertical asymptotes using graphs
- G.2Determine end behavior using graphs
- G.3Determine end behavior of polynomial and rational functions

## Rational functions

- H.1Find the limit at a vertical asymptote of a rational function I
- H.2Find the limit at a vertical asymptote of a rational function II

## Continuity

- I.1Identify graphs of continuous functions
- I.2Determine continuity using graphs
- I.3Determine one-sided continuity using graphs
- I.4Find and analyze points of discontinuity using graphs
- I.5Determine continuity on an interval using graphs
- I.6Determine the continuity of a piecewise function at a point
- I.7Make a piecewise function continuous
- I.8Intermediate Value Theorem

## Introduction to derivatives

## Derivative rules

- K.1Sum and difference rules
- K.2Product rule
- K.3Quotient rule
- K.4Power rule I
- K.5Power rule II
- K.6Chain rule
- K.7Inverse function rule

## Calculate derivatives

- L.1Find derivatives of polynomials
- L.2Find derivatives of rational functions
- L.3Find derivatives of trigonometric functions I
- L.4Find derivatives of trigonometric functions II
- L.5Find derivatives of exponential functions
- L.6Find derivatives of logarithmic functions
- L.7Find derivatives of inverse trigonometric functions
- L.8Find derivatives of radical functions
- L.9Find derivatives using the product rule I
- L.10Find derivatives using the product rule II
- L.11Find derivatives using the quotient rule I
- L.12Find derivatives using the quotient rule II
- L.13Find derivatives using the chain rule I
- L.14Find derivatives using the chain rule II

## Derivative strategies

- M.1Find derivatives using implicit differentiation
- M.2Find tangent lines using implicit differentiation
- M.3Find derivatives using logarithmic differentiation