A state charges polluters an annual fee of $50 per ton for each ton of pollutant emitted into the atmosphere, up to a maximum of 6,000 tons. No fees are charged for emissions beyond the 6,000-ton limit. Write a piecewise definition of the fees F(x) charged for the emission of x tons of pollutant in a year. What is the limit of F(x) as x approaches 6,000 tons? As x approaches 9,000 tons?

Q: Write a formula for the function g(x) obtained when the graph of f(x) = 1/x is shifted down 3 units…

A: We will use basic of plotting.

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A:

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A: Introduction: Exponents are used in the exponential function, as the name implies. However, an…