# Simple math equations, math homework help

*label*Other

*timer*Asked: Jan 27th, 2017

*account_balance_wallet*$50

**Question Description**

1.) Let *A*={1,2,3} and *B*={1,2,3,4}. Let *R* and *S* be the relations from *A *to *B *whose matrices are given. Compute .

,

2.) 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=|*R, *B*= {x | x is real and x __>__ 0}; f(a)= |a|

3.) Use the universal set *U*= {a,b,c,..... y, z} and the characteristic function for the specified subset to compute the following function value:

4.) 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)= ?

5.) Let *f* be the mod-10 function. Compute *f*(81).

6.) 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)}

7.) Let f be the mod-10 function. Compute *f*(1057).

8.) Let A={1,2,3} and B={1,2,3,4}. Let R and S be the relations from A to B whose matrices are given. Compute .

,

9.) Assume that

Compute:

10.) Use the universal set *U*= {a,b,c,..... y, z} and the characteristic function for the specified subset to compute the following function value:

11.) 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)}

12.) Let *A*={1,2,3} and *B*={1,2,3,4}. Let *R* and *S* be the relations from *A *to *B *whose matrices are given. Compute .

,

13.) Use the universal set *U*= {a,b,c,..... y, z} and the characteristic function for the specified subset to compute the following function value:

14.) 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,3), (b,2), (c,1)}

True or False?

15.) 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(4)= ?

## Tutor Answer

thank you for the opportunity

1. Let A= {1, 2, 3} and B= {1, 2, 3, 4}. Let R and S be the relations from A to B whose

matrices are given. Compute

.

,

A.{(1,1), (1,3), (1,4), (2,4), (3,1), (3,2), (3,3), (3,4)}

B.{(1,1), (1,2), (1,3), (1,4), (2,4), (3,1), (3,2),(3,4)}

C.{(1,1), (1,2), (1,3), (1,4), (3,1), (3,2), (3,3), (3,4)}

D.{(1,1), (1,2), (1,3), (1,4), (2,4), (3,1), (3,2), (3,3), (3,4)}

2. 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. bot...

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