MATH 210-Week 7 practice quiz.

MATH 210-Week 7 practice quiz.

Q1

Compute the values indicated. Note that if the domain of these functions is |Z+, then each function is the explicit formula for an infinite sequence. Thus sequences can be viewed as a special type of function.
g(n)= 5-2n
g(14)= ?

A.-23
B.-3
C.-41
D.-253

Q2

Use the universal set U= {a,b,c,..... y, z} and the characteristic function for the specified subset to compute the requested function value. [2.78]

A.-3
B.2
C.14
D.-18

Q3

Use the universal set U= {a,b,c,..... y, z} and the characteristic function for the specified subset to compute the requested function value. [-17.3]

A.-18
B.2
C.14
D.21

Q4

Let A= {a,b,c,d} and B= {1,2,3}. Determine whether the relation R from A to B is a function.
R= {(a,1), (b,1), (c,1), (d,1)}

True False

Q5

In each part, sets A and B and a function from A to B are given. Determine whether the function is one to one or onto (or both or neither).
A=B=|Z; f(a)= a-1

A.onto
B.one to one
C.both
D.neither

Q6

Let R and S be the given relations from A to B. Compute .
A={a,b,c};B= {1,2,3}
R= {(a,1), (b,1), (c,2), (c,3)}
S= {(a,1), (a,2), (b,1), (b,2)}

A.{(1,a), (1,b), (2,b)}
B.{(1,a), (2,a), (1,b), (2,b)}
C.{(1,a), (2,a), (2,b)}
D.{(1,a), (2,a), (1,b)}

Q7

Let R and S be the given relations from A to B. Compute .
A={a,b,c};B= {1,2,3}
R= {(a,1), (b,1), (c,2), (c,3)}
S= {(a,1), (a,2), (b,1), (b,2)}

A.{(a,1), (a,2),(b,2), (c,2), (c,3)}
B.{(a,2), (a,3),(b,3), (c,1)}
C.{(1,a), (1,b), (2,b)}
D.{(a,1), (b,1)}

Q8

Let A={1,2,3} and B={1,2,3,4}. LetR and S be the relations from Ato Bwhose matrices are given. Compute .
,

A.{(1,1), (3,1), (4,2), (1,3), (3,3)}
B.{(1,1),(4,2), (1,3), (2,3), (3,3)}
C.{(1,1), (3,1), (4,2), (1,3), (2,3), (3,3)}
D.{(1,1), (3,1),(1,3), (2,3), (3,3)}

Q9

Let R and S be the given relations from A to B. Compute .
A={a,b,c}; B= {1,2,3}
R= {(a,1), (b,1), (c,2), (c,3)}
S= {(a,1), (a,2), (b,1), (b,2)}

A.{(a,2), (a,3), (b,2), (b,3), (c,1)}
B.{(a,2), (b,2), (b,3), (c,1)}
C.{(a,2), (a,3), (b,2), (c,1)}
D.{(a,2), (a,3), (b,3), (c,1)}

Q10

Compute the values indicated. Note that if the domain of these functions is |Z+, then each function is the explicit formula for an infinite sequence. Thus sequences can be viewed as a special type of function.
g(n)= 5-2n
g(129)= ?

A.-3
B.-253
C.-41
D.26