options: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.  For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the 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.


correct_option_index: 2