Thirty-Six

Unit 5 · 5 skills

Functions

Notation, graphs, transformations, inverses, exponentials, logs, and sequences.

  • 7 lessons
  • 210 min of lessons so far
  • Unit boss

Your progress

 
Lesson 5.1

Skills covered

  • F1 · GuidanceFunction Notation, Evaluation & CompositionFlight Computer
  • F3 · GuidanceGraphs: Domain, Range & Key FeaturesTrajectory Display
  • F4 · GuidanceTransformations & InversesCourse Correction
  • F5 · GuidanceExponential & Logarithmic ModelsBurn Scheduler
  • F6 · GuidanceSequencesStaging Sequencer

Lessons

  1. 5.1Function Notation & CompositionTreat functions as input-output rules and evaluate nested compositions inside out.30 min 
  2. 5.2Domain, Range & Graph FeaturesRead intercepts, extrema, intervals, domain, and range from formulas and graphs.30 min 
  3. 5.3Function TransformationsRead shifts, stretches, and reflections from an equation before graphing.30 min 
  4. 5.4Inverse FunctionsReverse a function, restrict domains when needed, and distinguish inverse from reciprocal.30 min 
  5. 5.5Exponential Growth & DecayBuild and interpret exponential models from percent changes and repeated factors.30 min 
  6. 5.6Logarithms & Exponential EquationsUse logarithms to expose exponents and solve models with unknown time.30 min 
  7. 5.7Arithmetic & Geometric SequencesRecognize constant differences and ratios, then find terms and finite sums.30 min 

Challenge sets

Optional, hardest-level questions at the end of each lesson. This is where a 36 is won.

Unit bossSeal FunctionsA mixed set across every skill in this unit. Pass it to earn the unit seal.