standard_description: Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
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