Identify inverse functions graphically and from a table of values in contextual and non-contextual situations.
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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.
How are the graphs and the functions they describe different from one another? Related to one another?
Below is the function $${f(x) = 2x +1}$$ where $${2\leq x< 5}$$.
Graph the inverse of the function, $${f^{-1}(x)}$$, on the coordinate plane above.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Below is a set of coordinate points. Graph these points, connect the points into a linear function, and then graph the inverse of this function.
$${(-2,-4)}$$
$${(1,-2.5)}$$
$${(2,-2)}$$