Rational Equations and Inequalities. Polynomial Functions

1. Rational Equations
and Inequalities
Presenter
Rea B.
Pabrua

6. EXAMPLE

15. Try!
A group of people are to share a 6 slices
of pizza equally. If one more person joins
in to share the pizza, then each person
would get three less slices. What is x?

23. Graph of
Polynomial and
Rational Functions

24. GRAPH OF POLYNOMIAL
FUNCTIONS
- Don’t have sharp corners
- Smooth curves
- No breaks- continuous

25. Graph of polynomial functions
- Find the x-intercept (equating the f(x)=0, factoring)

26. Graph of polynomial functions
- Find the y-intercept (let x=0)

27. Sketching the graph of polynomial
functions
- Identify the zeros and its multiplicity

30. Sketching
the graph of
polynomial
functions
- Determine the
end behavior of
the graph

31. Sketching
the graph
of
polynomial
functions
- Determine the
turning points (n-1,
n=exponent)

32. Sketching the graph of polynomial
functions

33. functions

34. functions

35. Sketching the graph of polynomial
functions

36. Sketching the graph of polynomial
functions

37. Writing formulas for Polynomial
Functions

38. Writing formulas for Polynomial
Functions

39. Writing formulas for Polynomial
Functions

40. Graphing Rational Functions

41. Graphing Rational Functions

42. Graphing Rational Functions

43. Special Functions
https://www.geogebra.org/graphing?lang=en

44. Thank
you…
44