The Hint text says, "f(x) is a piecewise function, so we need to examine where each piece is undefined." (and goes on from there). One or more of the questions is all about the domain for a piecewise function. ![]() There is an exercise in the Algebra I content- "Domain of a function" ( ). (old question kept for historical purposes) There were about 10 new modules added in the Algebra I "Functions" section, I believe. These are a couple of the new modules added to address this: I believe those new modules added significant value to the lessons in that section of the KA content. Great job, Khan Academy! I am enjoying the new exercises, and I feel they really help fill in some small gaps that were there in the content. So this piece wise stuff may seem arcane or just a very special (infrequent) case, but it is not, it is a fixture in the mathematical landscape, so enjoy the view!Įdit: The Algebra I section has been expanded to include some modules that fill in these gaps nicely, and a few others. Each phase, launch, staging, orbit insertion, course correction and docking is a piece that has a very different characteristics of fuel consumption, and will require a different expression with different variables (air resistance, weight, gravity, burn rates etc.) at each stage in order to model it correctly. ![]() Hmmm, something more scientific? How about modeling the fuel usage of a space shuttle from launch to docking with the ISS. Or perhaps your local video store: rent a game, $5/per game, rent 2-3 games, $4/game, rent more than 5 games, $3/per game.Īsk your folks about tax brackets, another piece-wise function. In your day to day life, a piece wise function might be found at the local car wash: $5 for a compact, $7.50 for a midsize sedan, $10 for an SUV, $20 for a Hummer. Where ever input thresholds (or boundaries) require significant changes in output modeling, you will find piece-wise functions.
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