standard_description: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
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