How do you graph the function #f(x)=3# and its inverse?

1 Answer
George C.
May 13, 2017

#f(x)=3# has a graph which is a horizontal line. The inverse relation (not a function) has a graph which is a vertical line.

Explanation:

The graph of #f(x) = 3# is a horizontal line #y=3# through #(0, 3)#...

graph{y=3+0.000001x [-10, 10, -5, 5]}

To obtain the graph of the inverse, we can reflect this graph in the diagonal line #y=x# to get:

graph{x=3+0.00001y [-10, 10, -5, 5]}

If that does not look like the graph of a function to you, that's probably because it isn't. The only value of #x# for which there are any values of #y# is #x=3# and then there are an infinite number of values to choose from.

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