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(d) (+) Produce an invertible function from a non-invertible function by restricting the domain.' data-html='true' data-title='F.Students model the exponential growth of a contagion and use logarithms and finite geometric series to determine the time needed for a disease to infect the entire population.Students should be able to write the equation of and graph a linear inequality.This lesson can be used as a context to introduce writing a function's inverse, but will progress more quickly if students are already familiar with inverse functions. (b) (+) Verify by composition that one function is the inverse of another.
BF.4' Do social networks like Facebook make us more connected?Students create a quadratic function to model the number of possible connections as a network grows, and consider the consequences of relying on Facebook for news and information. Students use the formulas for surface area and volume of a cylinder to design different cans, calculate their cost of production, and find the can that uses the least material to contain a standard 12 ounces of liquid. And, if vampires exist, shouldn't we all be sucking blood by now?