Copy of Sketching y = 1/f(x)
Refresher
For the function
as
1) The graph of f(x)=x and its reciprocal
2) The graph of f(x)=x+2 and its reciprocal
Using your calculator, observe what happens if we substitute the x-intercept of the function into the reciprocal. By analysing the graphs, which of the following is true?
What feature of the functions corresponds to the vertical asymptotes in the reciprocal graphs?
3) The graph of f(x)=x and its reciprocal
What are the points of intersection between the graphs above?
4) The graph of f(x)=x and its reciprocal
What are the points of intersection between the graphs above?
What do the points of intersection of the graphs 3 and 4 have in common?