Discrete Math QUESTION 10 A _______ produces a single output for a given input.

Question

Discrete Math

QUESTION 10

A _______ produces a single output for a given input.

a.Cartesian product

b.inverse relation

c.function

d.union

6 points   

QUESTION 11

With composition, the domain of one function becomes the range of another.

True

False

6 points   

QUESTION 12

Not all functions have inverses.

True

False

6 points   

QUESTION 13

Consider the function: f(x) = 25x – 3. Which of the following is a valid set of ordered pairs?

a.{(0,0),(1,22),(2,47),(3,72)}

b.{(0,-3),(1,22),(2,47),(3,72)}

c.{(0,0),(1,22),(2,-47),(3,72)}

d.

6 points   

QUESTION 14

Consider the function: y = -3 + 8x. Which statement is true.

a.y is the independent variable

b.x is the dependent variable

c.y is the dependent variable

d.x is inversely related to y

6 points   

QUESTION 15

Consider the following composite function representation: f(g(x)). Which of the following is a false statement?

a.f depends upon the function g

b.g(x) is the argument of f

c.f is the argument of g

d.the range of g(x) is the domain of f

6 points   

QUESTION 16

Order does not matter when determining permutations.

True

False

6 points   

QUESTION 17

Order does not matter when determining combinations.

True

False

6 points   

QUESTION 18

Which of the following represents “8 factorial”?

a.7x6x5x4x3x2x1x0

b.8x7x5x4x3x2x0

c.8x7x6x5x4x3x2x1

d.8x1x3x7

6 points   

QUESTION 19

Say you are picking a bouquet of flowers for a wedding and you can choose only one flower from each of the flower types: Rose, Tulip, Daisy, Carnation, Calla Lily. You choose four out of the five. How many variations will there be?

a.10

b.5

c.50

d.70

6 points   

QUESTION 20

Say that you are picking a bouquet of flowers for a wedding and can choose from the following: Rose, Tulip, Daisy, Carnation, Calla Lily. You can choose four out of the five. How many variations will there be?

a.10

b.5

c.50

d.70

6 points   

QUESTION 21

Consider the following sets: A = {Ford, Toyota, GM} and B = {BMW, Honda}. How many elements are there in the Cartesian product of these two sets?

a.6

b.5

c.36

d.25

6 points   

QUESTION 22

The union of two sets produces a set that contains elements from one set or the other.

True

False

6 points   

QUESTION 23

The intersection of two sets produces a set that contains elements from either set.

True

False

6 points   

QUESTION 24

Which of the following is not a function?

a.{(0,0), (1,2),(2,3),(3,4)}

b.{(0,0), (0,1),(2,3),(3,4)}

c.{(0,0), (2,3),(3,4),(4,4)}

d.{(0,1), (1,2),(3,3),(4,4)}

6 points   

QUESTION 25

Combinatorics is a term that relates to selecting possible combinations from multiple sets.

True

False

a. b. c. d.

Explanation / Answer

Q10- c) Function

Q11- False: The range [or more precisely, co-domain] becomes the domain of another.

Q12- True

Q13- b), since (0,0) does not satisfy y = 25x-3

Q14- c) y is the dependent variable

Q15- b) g(x) is the argument of f

Q16- False: order does matter [order does not matter when determining combinations]

Q17- True

Q18- c)

Q19- b) 5C4=5C1=5

Q20- d) 70 [5C4+35C3+5C2+25C2+5C1 - the coefficients represent the number of ways to arrange 4 sticks like this, respectively: | | | |, || | |, || ||, ||| |. |||| ]

Q21- a) 6 (3*2)

Q22- True

Q23- False

Q24- b) as 0 returns both 0 and 1

Q25- True

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