1. Do Now Solve the inequality and come up with a real world scenario that fits the solution.

2. 38 > 22

3. 5.1 Polynomial Functions Learning goals
graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. 

4. 5.1 Polynomial Functions
Vocabulary
monomial : a number, a variable, or the product of a real number and variables with whole number exponents
polynomial : a monomial or the sum of monomials
degree :
For a monomial – the sum of its exponents
For a polynomial – the largest sum of exponents from a term
**Always put answers in standard form: descending order of exponents

5. Classifying Polynomials
Shape
By Degree
0 – constant
1 – linear
2 – quadratic
3 – cubic
4 – quartic
5 – quintic
By # of Terms
1 – monomial
2 – binomial
3 – trinomial
4 or more - polynomial

6. Ex 1 Put in standard form What is the degree of the polynomial?
Classify each polynomial by degree and number of terms
What shape is it?

7. Ex 2
Write in standard form, classify, state degree and shape.

8. Vocabulary The degree of a polynomial function affects
the shape of its graph
the maximum number of turning points
the way behaves at its ends
turning point : places where a graph changes direction
end behavior : direction of the graph where the arrows appear
(far left and far right of the graph)

9. Vocabulary
relative minimum /relative maximum peaks and valleys within the graph of a polynomial that has several turning points

10. Ex 3
Find the relative minimum and maximum

11. End Behavior a is positive is negative behaves like n is even (n≠0)
parabola
n is odd
line

12. Ex 4 Describe the end behavior Is the graph odd or even?
Is the leading coefficient positive or negative?
Relative max or min?

13. Ex 5 Describe the end behavior Is the graph odd or even?
Is the leading coefficient positive or negative?
Relative max or min?

14. Ex 6
For each polynomial function:
describe the end behavior
sketch

15. Ex 7
For each polynomial function:
describe the end behavior
sketch

16. WS 5.1
Homework