standard_description: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
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: yes