standard_description: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
problem_activity: Problem 1
Andrea is hosting a lemonade stand. She has graphed two functions that describe how much money she will make and how many cups of lemonade she will sell.
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How are the graphs and the functions they describe different from one another? Related to one another?
Problem 2
Below is the function
$${f(x) = 2x +1}$$
where
$${2\leq x< 5}$$
.
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Graph the inverse of the function,
$${f^{-1}(x)}$$
, on the coordinate plane above.


aligns: no