Question

Determine whether the relation represents a function.
{(a, b), (c, d), (a, c)}
a The relation is a function because the input a corresponds to two different outputs.
b The relation is a function because c corresponds to an input and an output.
c The relation is a function because there are no input values with more than one output.
d The relation is not a function because the input a corresponds to two different outputs.
e The relation is not a function because c corresponds to an input and an output.

Answer 1

so d?

Answer 2

Post one question at a time please

Answer 3

ok, i finished the first one so i posted the second one jim sorry.

Answer 4

yes `d The relation is not a function because the input a corresponds to two different outputs.` is correct

the input x = a corresponds to y = b and y = c at the same time. This means we don't have a function. The rule is that any input must have exactly one output (assuming the function is defined here) for it to be a function

Answer 5

very cool, okay. can you help me find the domain and range of the graph for the problem pls

Answer 6

A better description than mine @Jim_thompson5910

Answer 7

what is the left most point of the graph?

Answer 8

-2,6

Answer 9

im not sure

Answer 10

close but no

Answer 11

I think you meant to say (-2,-6)

Answer 12

-2 , -6

Answer 13

yes

Answer 14

use parenthesis whenever you write ordered pairs like that

what is the x coordinate of that point?

Answer 15

-2

Answer 16

so x = -2 is the smallest x value we can plug in. It's going to be the smallest number in the domain

Answer 17

What's the largest value in the domain?

Answer 18

1 ?

Answer 19

Sorry now that I think about it, it's a trick question.

1 is NOT in the domain. There technically is no largest value because the x values will get closer and closer to 1 but never actually get there

x = 0.9 --> x = 0.99 ---> x = 0.999
etc

but yes basically 1 is the right endpoint of the domain

Answer 20

so what do i insert for the domain of the question

Answer 21

the domain starts at -2 (we're including -2) and it ends at +1 (we're excluding -1)

so we would write the domain as a compound inequality like this \(\Large -2 \le x < 1\)

how would we write this in interval notation?

Answer 22

idk

Answer 23

the left boundary is -2
the right boundary is +1

so this is what it looks like in interval notation