Question

Which of the following best defines an output?

An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
An output is a set of ordered pairs in which no y-value repeats.

Answer 1

A

Answer 2

are you sure?

Answer 3

yes

Answer 4

ok next..

Which point could be removed in order to make the relation a function?

{(–4, 3), (–5, 6), (1, 0), (–4, 5), (9, 5), (0, –7)}

(–5, 6)
(1, 0)
(–4, 5)
(9, 5)

Answer 5

For your first, question the output is the y-value of a function/relation. The INPUT is the x-value.
Example: \(f(x) = 2x + 1\)
\(f(3) = 2(3) + 1\)
\(f(3) = 7\)
In other words, y = 7 (that is the output)

Answer 6

so A?

Answer 7

Does A elaborate on this idea?

Answer 8

yes.. :)

Answer 9

wait calculusxy for my question, is the answer A

Answer 10

Not really...

Take a look at option A:
An output is the value that determines another based on the relation or the function rule, usually the `x-values` in a set of ordered pairs or on a table or graph.

Answer 11

oh...
b!

Answer 12

Yes this is correct: An output is the result of a relation or the function rule, usually the `y-values` in a set of ordered pairs or on a table or graph.

Answer 13

ok! and for the second question? :)

Answer 14

calculusxy for my question, is the answer A

Answer 15

What is the definition of a function?

Answer 16

ok sweet thanks!!!!

Answer 17

a relationship or expression involving one or more variables.

Answer 18

That's true. But how can you identify if a coordinate represents a function?

Answer 19

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range.

Answer 20

`Then, test to see if each element in the domain is matched with exactly one element in the range.` This is what you need to do for the second question.

Do you notice any y-values repeating in the coordinates for the second problem?

Answer 21

no

Answer 22

Take a more careful look.

Answer 23

ok

Answer 24

oh yes! sorry

Answer 25

What is it?

Answer 26

5?

Answer 27

Yes.

Answer 28

so then..? :)

Answer 29

So in the options, you have two choices that say (-4, 5) and (9, 5), both of which are plausible answers. Although, look at the coordinates and see which one of the x-values are repeating. It wouldn't make sense for one x-value to be with two different y-values in a function.

Answer 30

C!

Answer 31

Yes!

Answer 32

ok next!

Answer 33

A function is an equation which shows the relationship between the input x and the output y so the output is y so look at the points and sesee the y's.

Answer 34

First, list the coordinates. Then just identify the y-coordinates.

Answer 35

Yeah what I and calculate said.

Answer 36

A!?

Answer 37

Yup!

Answer 38

Consider the following scenario describing the residents of Charlestown: The list pairs resident's ages with their zip codes.

Does this scenario represent a function?

No, because people who are the same age can have different zip codes
No, because people who have the same zip code can be different ages
Yes, because people who are the same age can have different zip codes
Yes, because people who have the same zip code can be different ages