Question

Let X = {1,2,3,4}, where R is a relation on X. Determine whether the relation is a function: R = {(3, 1), (1, 3), (4, 4), (3, 2)}


Yes, the relation is a function.

No, the relation is not a function.

Answer 1

you can see from figure that it is not a function

Answer 2

Determine whether the following function is one-to-one: f(x) = 3x3 + 1
2

Yes, the function is 1-1.

No, the function is not 1-1

Answer 3

how about that one I say yes

Answer 4

?

Answer 5

3x ^3 power i mean

Answer 6

to understand this, just remember left side as son and right as a father.
so, A father can have more than one children or none.
But a son can't exist without a father.
Additionally, a son can't have 2 fathers.
so (3,1) and(3,2) means 3 have 1 and 2 as father.
which can't be possible.

Answer 7

so its not a function then

Answer 8

hmm..!

Answer 9

No, the function is not 1-1?

Answer 10

thats the answer

Answer 11

you're asking about later one or first one?

Answer 12

later one

Answer 13

yeah .., it's one one

Answer 14

ok

Answer 15

http://my.omegamath.com/images/quiz/collegealgebra/quiz2.3.8a.gif

Answer 16

now this one is it asking you for coordinates?

Answer 17

if the function f is \[f:N \rightarrow N \]then we can say that
f(x) is one one .

Answer 18

determine the domain and range on the graph?

Answer 19

oh ok

Answer 20

ok., first tell me all the points in the form of (x,y) from the graph.

Answer 21

5, -2

Answer 22

and 3, -3?

Answer 23

how did you get all these points?

Answer 24

where the dot is?

Answer 25

idk really confused with this one

Answer 26

the first dot is at x=-5 and y=3
do you get that?

Answer 27

yes that i get

Answer 28

2nd is x=-3 and y=-3

Answer 29

ok

Answer 30

so how do you figure the domain and range

Answer 31

3rd is x=-2 and y=1
4th is x=-1 and y=-1

Answer 32

and so on.
to find domain and range of a function
find all the points
Set of all x's is the domain
and y's is the range.

Answer 33

ok how?

Answer 34

for e.g.,
a relation R={(1,2)(2,3)(3,4)}
so the domain is D={1,2,3}
and range is R={2,3,4}

Answer 35

similarly , you can find yours.

Answer 36

the the answer for the domain is 1,2,3

Answer 37

and range 2,3,4?

Answer 38

it only gives me the option to type it in like this Domain = [ , ]

Answer 39

and same with the range

Answer 40

ok got it nvm