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

1 Answer
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.