1. Reciprocal Functions

3. f(10) =

4. f(10) =
1/f(10) = 1/10 = 0.1

5. f(5) = 5

6. f(5) = 5
1/f(5) = 1/5 = 0.2

7. f(4) = 4

8. f(4) = 4
1/f(4) = 1/4 = 0.25

9. f(2) = 2

10. f(2) = 2
1/f(2) = 1/2 = 0. 5

11. f(1) = 1

12. f(1) = 1
1/f(1) = 1/1 = 1.0

13. f(0.6) = 0.6

14. 1/f(0.6) = 1/0.6 = 1.33
f(0.6) = 0.6

15. f(0.2) = 0.2

16. 1/f(0.2) = 1/0.2 = 5.0
f(0.2) = 0.2

17. 1/f(x) = 1/x The function ‘f(x)’ is transformed.
Big values of f(x) become small fractions; small fractions become big numbers
1/f(x) = 1/x

18. 1/f(x) will never reach a value of zero, but it will ‘approach’ a value of zero at infinity.
The line that a curve approaches at infinity is called an ‘asymptote’
1/f(x) = 1/x

19. The value of 1/f(x) when x is zero is undefined: doesn’t exist.
There is an ‘asymptote’ on the y-axis too that the curve never quite reaches.
1/f(x) = 1/x