Question

Stuck for days on the same question!

Answer 1

what is it

Answer 2

3 ducks and 1 seagull

Answer 3

Gordon is evaluating some stocks he wants to purchase. You can see the function of the stock price below. The variable x represents days.

Stock A B C
Price f(x) = 25(1.08)x
x f(x)
0 22.00
1 21.56
2 21.13 The initial price of this stock is $30, but it has been increasing 4% each day.
Create the price function for Stock D. It should have the second lowest starting price and the second highest rate of growth. Using complete sentences, justify that your function meets these requirements.
Graph the price function for Stock D. Explain the key features of the graph with complete sentences.
A recent drop in sales has affected Stock D with the function g(x) = –6. Explain to Gordon how Stock D’s new price function, f(x) + g(x), will be created. Graph f(x) + g(x).
Gordon wants to fully understand what kind of changes could affect the money he is investing. Using complete sentences, explain the effect of the following transformations. Graph them and f(x) on the same coordinate plane.
f(x + 2)
f(–x)
f(x) + 3

Although i finished 1-3 i don't understand 4.

Answer 4

do you think you could help @cucu

Answer 5

This question is really hard and I really need help.

Answer 6

@jim_thompson5910

Answer 7

which one is #4? The one where it says "Gordon wants to fully understand what kind of changes..." ?

Answer 8

Yes

Answer 9

what does f(x) represent?

Answer 10

F(x) represents the input and an output.

Answer 11

but in terms of the real world, what does it mean?

Answer 12

say you were explaining it to a friend and this friend had no idea about functions

Answer 13

well the way that i usually explain it is that f(x) in an equation lets say for example f(x)=2x+5 fx=3 lets say so you would substitute the f(x) to three and 2(3) + 5. That is kinda the only way i am able to explain it.

Answer 14

ok, you plug in x = 3 and you get out f(x) = 11

what do those numbers mean? It's great that you can compute these values, but what does it represent?

Answer 15

go back to the table if you're stuck

Answer 16

So in this table f(x) represents the price

Answer 17

good

Answer 18

so if we said f(x) + 3, what do we mean?

Answer 19

You would take the price and add 3

Answer 20

correct, whatever the price is, add $3 to it

Answer 21

so effectively all of the prices bump up by $3

Answer 22

Okay that makes sense

Answer 23

how about f(-x)

Answer 24

well I'm guessing that the price is multiplied by a negative.

Answer 25

what does x represent?

Answer 26

the stock

Answer 27

nope, go back to the problem and reread where it says "the variable x represents _____"

Answer 28

Oh it represents the days. sorry about that.

Answer 29

that's ok

Answer 30

so x is positive (you can't have a negative amount of days)

therefore -x is nonsense and so is f(-x)

neither show up on the table or graph

Answer 31

I guess you could argue that negative amount of days represent the past, but that data isn't available

Answer 32

True. So the data wouldn't end up being negative since its talking about days. Alright i get that part now.

Answer 33

yeah f(-x) is just something that doesn't translate over to the real world (at least in this specific example)

Answer 34

how about f(x+2)?

Answer 35

so your taking the days i think and adding two or your taking the price and adding two

Answer 36

well normally, you take some numeric value and you plug it into f(x)

so say x = 1, you plug that into f(x) to get some price

Answer 37

but now, you are evaluating f(x+2)

Answer 38

so before you plug the value into the function you first add 2 to the input

if x = 1, then x+2 = 3 (add 2 to 1)

your old input was 1
the new input is 3

Answer 39

so it's like saying: for any given day, the price is going to be equal to whatever the price is two days from now

Answer 40

which in my opinion is ridiculous because you can't know for sure about the future even if you have a ton of data from the past

however, there may be some merit to this idea (not 100% sure since I don't know stocks fully)

Answer 41

oh and visually, f(x+2) will shift the graph to the left 2 units (since every day looks ahead at the price 2 days from that specific day)

Answer 42

Oh so lets pretend you took it away like f(x-2) then it would shift to the right

Answer 43

correct since x-2 makes you look at the price 2 days in the past

Answer 44

Exactly :) this makes sense now

Answer 45

Okay so for the question i should just write something like f(x)+3 is simply just the price plus three. Something along those lines right?

Answer 46

yes, for any price

so all the prices rise by $3

visually, the graph of f(x) is shifted up 3 units

Answer 47

Okay so how would I write f(x+2)?

Answer 48

that shifts the graph to the left 2 units

let's say we have this graph here