1 Topic 8.2.1 Multiplying Rational Expressions Multiplying Rational Expressions.
Factoring Rational Expressions (1) Rational Expressions (2) Binomial Theorem Functions/In verses 10...
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Transcript of Factoring Rational Expressions (1) Rational Expressions (2) Binomial Theorem Functions/In verses 10...
FactoringRational
Expressions (1)
Rational Expressions
(2)
Binomial Theorem
Functions/Inverses
10 10 10 10 10
20 20 20 20 20
30 30 30 30 30
40 40 40 40 40
50 50 50 50 50
Rational – 40 1: Factor all numerators and denominators:
2: Cancel all common factors:
3: Multiply the denominators and numerators:
Binomial Theorem- 10
• Fill in the missing pieces of Pascal’s triangle– (Rewrite this whole chunk on your white board)
Binomial Theorem– 30
128x7 – 2240x6y + 16800x5y2 – 70000x4y3
+ 175000x3y4 – 262500x2y5+ 218750xy6
– 78125y7
Functions/Inverses- 10
• For {(-1,7),(3,4),(0,5),(-2,4)}a) Is it a function?b) What is the domain?c) What is the range?d) Is it one-to-one?e) Is it invertible?f) What is the inverse?
Functions/Inverses– 10
• For {(-1,7),(3,4),(0,5),(-2,4)}a) Is it a function?---------------Yesb) What is the domain?--------{-2,-1,0,3}c) What is the range?----------{4,5,7}d) Is it one-to-one?--------------Noe) Is it invertible?----------------No
(The inverse is not a function since it is not one to one)
f) What is the inverse?--------
{(7,-1),(4,3),(5,0),(4,-2)}
Functions/Inverses- 20
For the graph state the following:a)Is it a function?b)Is it one-to-one?c)What is the domain?d)What is the range?e)Is it invertible?
Functions/Inverses– 20 For the graph state the following:a)Is it a function?----Yesb)Is it one-to-one?---Noc)What is the domain?
(-infinity, infinity)d) What is the range?
[-1,infinity)e) Is it invertible?
No