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Graphing Inverse functionTo graph the inverse function y=f -1(x) given the function y=f(x), we make use of the fact that for any given ordered pair (a,b) associated with a one-to-one function there is an ordered pair (b,a) associated with the inverse function. To graph y=f -1(x), we make use of the 45 line, which is the graph of the function y=x and passes through all points of the form (a,a). The graph of the function y=f -1(x), is the reflection of the graph of f(x) across the line y=x.
Graph of function and inverse function
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Traditional demand function is written q=f(p), i.e. quantity is function of price.
Traditionally we graph the inverse function, p=f -1(q).
Our Traditional Demand Curve shows maximum price people with pay to receive a given quantity.
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Extreme Values The largest value of a function over its
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The smallest value over the entire range is called the Global minimum.
Largest value within a small interval is a local maximum.
Smallest value within a small interval is called a local minimum.
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