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Describe the function over each part of its domain. State whether it is constant, increasing, decreasing and state the slope over each part of its domain. State whether it is constant, increasing, or decreasing and state the slope over each part.

Describe the function over each part of its domain. State whether it is constant, increasing-example-1

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SOLUTION

From the question, given the functions, we can see that the function is constant at where we have less/equal to sign.

Hence the function is constant at c(x) =

[tex]\begin{gathered} 0.35,\text{ if }x\leq8,000,\text{ } \\ 0.75,\text{ }if\text{ }8,000It is decreasing at c(x) =[tex]0.83-(\frac{x}{200,000}),if\text{ }20,000
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