Question

For the function y = f(x), what is the ordered pair for the point on the graph when x = 3n - 4?

(3n - 4, f(n))

(3n - 4, f(3n - 4))

(x, f(3n))

(x, 3n - 4)

Answer 1

@jaga_co

Answer 2

@ikram002p

Answer 3

@lacrosseplayer22

Answer 4

@BlackLabel @NaeNaeHoowaahh @cwrw238

Answer 5

A maybe because x goes first then y. x value, y value. I don't know if that makes sense:D haha

Answer 6

I don't know :(

Answer 7

oh I know someone who can help u . @Cosmichaotic plz help!

Answer 8

But you're the human calulator D:

Answer 9

@phi

Answer 10

@mathlover2014 @mathmate @NinjaDevo

Answer 11

i know but that doesn't mean im that smart

Answer 12

Hi @superdude123
The meaning of an ordered pair, (x,y) means that on a graph, there is a point with the x-coordinates as x, and the y-coordinate as y.

In the above example, x=4, y=3.
ok so far?

Answer 13

Yes

Answer 14

Now they tell you y=f(x), so the graph becomes:

so far so good?

Answer 15

Yes!

Answer 16

Well, for any point x on a graph (any input into the function) we get a correlated f(x) out of the function.

Meaning that for every x, there is an f(x) value.

This can be shown like this (x, f(x))

Now if we say x = 3n - 4, then we know that a correlated f(3n - 4) must be paired with it.

So this would yield us ((3n-4), f(3n-4)) as a coordinate on a graph.

Answer 17

Now, further, they tell you x=3n-4 (instead of 4)
that makes:

making sens so far?

Answer 18

*sense

Answer 19

I got it!

Answer 20

Now I hope that explains it, but @mathmate, please correct my terminology and if I'm wrong!

Answer 21

Thanks, cosmic! ANd you too, mathmate

Answer 22

One more question?

Answer 23

You're welcome! :)

Answer 24

Let @mathmate finish =0). He is showing you why, and how, it looks on a graph like it does!

Answer 25

Oh well, if you got it, awesome =0D

Answer 26

The following function defines a recursive sequence:

f(0) = -5

f(1) = 20

f(n) = -4•f(n -1) - 3•f(n - 2); for n > 1

Which of the following sequences is defined by this recursive function?

-5, -20, -65, -200, …

-5, 20, -92, 372, …

-5, -24, -92, -372, …

-5, 20, -65, 200, …

Answer 27

@superdude123
I have the impression you can finish the first problem by combining the graph part and what Cosmic posted.
Post if you have further questions.

Answer 28

I already posted one :)

Answer 29

I'm not very good with recursives.

Answer 30

I think it's D

Answer 31

This recursive problem could be solved by re-reading what Cosmic posted.
Give it a try!

Answer 32

What do you mean?

Answer 33

I've noticed a pattern with the recursives. I think it would be answer choice D. Can you confirm please?

Answer 34

@Cosmichaotic I need your help as well D:

Answer 35

Yes, your answer is correct.

Answer 36

Yay!!

Answer 37

What was the pattern you noticed?