Ip 2 –Discrete Math

Part 1

f Ordered Pairs

D=Domain Q=Range

Is this relationship a Fuction?

This is a function because is mainly a one to one relationship between football team and Quarter Back. However it wouldn’t be a function if the Quarter Backs were the Domain. It exist as a function because of the simple relationship 1 to 1 (x, y) or ( 1 , a ).

Reversing the fuction

Is this Relationship a Function

This diagram does not qualify as a function because Arrow’s coming from Joe Namath are more than one pick out of the range. Givin that a function from F (x) X to Y has to be a 1 to 1 relationship this function simply doesn’t not Qualify.

Part 2 Sequences

Mathematical sequences can be used to model real life applications. Suppose you want to construct a movie theater in your town. The number of seats in each row can be modeled by the formula C_n = 16 + 4n, when n refers to the nth row, and you need 50 rows of seats.

Write the sequence for the number of seats for the first 5 rows

C_n= 16+4n Formulia 16+4(1)=N 16+4=20

16+4(2)=N 16+8=24

16+4(3)=N 16+12=28

16+4(4)=N 16+16=32

16+4(5)=N 16+20=36

1st row = 20

2nd row =24

3rd row=28

4th row=32

5th row=36

Number of Seats for the first 5 rows 140

(b) How many seats will be in the last row? C_n= 16+4n

N=16+4(n)

N=16+4(50)

N=16+200

N=216

Last Row has 216 seats

(c) What will be the total number of seats in the theater?

N=16+4(6)=40

N=16+4(8)=48

N=16+4(9)=52

N=16+4(10)=56

N=16+4(11)=60

N=16+4(12)=64

N=16+4(13)=68

N=16+4(14)=72

N=16+4(15)=76

N=16+4(20)=96

N=16+4(25) =116

N=16+4(30)=136

N=16+4(40)=176

N=16+4(45)=196

N=16+4(47)=204