## Sets and functions

**Intersection and union of sets**

**Subset strict subset and superset**

**Relative complement or difference between sets**

**Universal set and absolute complement**

**Bringing the set operations together**

**What is a function**

**Understanding function notation example 1**

**Understanding function notation example 2**

**Evaluating a function expression**

**Finding input given function output formula**

**Matching function input to output with graph**

**Different inputs giving same value for function**

**Interpreting function notation example 1**

**Interpreting function notation example 2**

**Difference between equations and functions**

**Create function from equation**

**Introduction to interval notation**

**Domain of a function intro**

**Range of a function**

**Domain and range from graphs**

**Domain of a radical function**

**Domain of algebraic function examples**

**Domain of a modeling function example 1**

**Domain of a modeling function example 2**

**Domain of a modeling function example 3**

**Graphical relations and functions**

**Recognizing functions example 2**

**Functional relationships 1**

**Recognizing functions example 1**

**Recognizing functions example 5**

**Relative minima maxima**

**Identifying relative and absolute maxima and minima**

**Increasing decreasing positive and negative intervals**

**When a function is positive or negative**

**Interpreting function graphs word problems**

**Interpreting features of functions 2 example 1**

**Sum of functions**

**Difference of functions**

**Product of functions**

**Quotient of functions**

**Piecewise function example**

**Evaluating piecewise functions example**

**Graphing piecewise function**

**Domain and range for piecewise step function**

**Domain and range for piecewise linear function**

**Domain of a function**

**Domain and range of a function given a formula**

**Logarithms**

**Fancier logarithm expressions**

**Exponential to logarithmic form**

**Plotting exponential logarithm**

**Logarithm exponential deductions**

**E through compound interest**

**E as limit**

**Natural logarithm with a calculator**

**Introduction to logarithm properties**

**Introduction to logarithm properties part 2**

**Sum of logarithms with same base**

**Logarithm of a power**

**Using multiple logarithm properties to simplify**

**Proof log a log b log ab**

**Proof a log b log b a log a log b log a b**

**Using multiple logarithm properties to simplify**

**Proof log a log b log ab**

**Proof a log b log b a log a log b log a b**

**Change of base formula**

**Rewriting logarithmic expressions change of base**

**Change of base formula proof**

**Exponential equation**

**Solve exponentials**

**Solving exponential model word problems 1**

**Solving exponential model word problems 2**

**Vi and sal explore how we think about scale**

**Logarithmic scale**

**Richter scale**

**Vi and sal talk about the mysteries of benford s law**

**Benford s law explanation sequel to mysteries of benford s law**

Click this link to view the KHAN ACADEMY® Mathematics topics:

https://www.khanacademy.org/math

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You can master basic concepts, explore subjects further or reinforce your knowledge − at your own pace.

Wherever you are in your learning journey, here are links to free materials that may be useful to identify both your strengths and any knowledge gaps in key background subjects.