Graphs of Functions: Parent Graphs, Transformations, Range
How to graph any function: parent graphs, shifts, stretches and reflections, intercepts, symmetry, asymptotes, and reading the range from a graph.
How to graph any function: parent graphs, shifts, stretches and reflections, intercepts, symmetry, asymptotes, and reading the range from a graph.
Exponential functions explained: graphs and asymptotes, the number e, growth and decay models, compound interest, and solving exponential equations.
All the exponent rules: product, quotient, power, zero, negative and fractional exponents, with worked examples, scientific notation and common mistakes.
How to find the domain and range of a function from its equation or graph, with interval notation, asymptotes, inverse functions and worked examples.
The distance and midpoint formulas: where they come from, examples with negative coordinates, finding a missing endpoint, 3D distance and practice.
Convert degrees to radians (multiply by π/180) and radians to degrees (multiply by 180/π), with a full chart, unit circle radians and examples.