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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?

Vink alles aan wat van toepassing is
  • A
  • B
  • C
  • D
Controleer mijn antwoord (3)

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?