Write a function to describe each investment of $1000:
-stock increasing in value 19% per year
-stock decreasing in value 9% each year
If the time is needed to write the function it is 3 years.
Stock increasing
$1000 * 1.19 ^ 3 = $1685.159
Stock decreasing
$1000 * 0.91 ^ 3 = $753.571
You can replace 3 by n for number of years in both cases
Did I do the math right for this, particularly the decimals?
Would this problem be considered a function?

- KJ4UTS

- katieb

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- KJ4UTS

The question that I have is to think of a function that you encounter in your everyday life. Carefully describe the inputs and corresponding outputs. Give your function a name and illustrate how you would use functional notation with your function. Describe the domain and range of your function.
I think the domain or input would be the initial investment and the range or output would be the profit or loss.

- triciaal

increase add
decrease subtract
compound interest in both cases
a = P(1 +r/n)^nt
1000*1.19^n
1000*0.91^n
agree

- KJ4UTS

So would this example also be a function if you buy 100 shares at $20 each and sell them at $22 each, your profit is $200 [100 x ($22 - $20) = 100 x $2] minus commission costs of $19.90, or $181.10.

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## More answers

- KJ4UTS

I am confused with the 1.19 and the 0.91 would 19% be 0.19 and 9% 0.09 as a decimal?

- triciaal

|dw:1440960836670:dw|

- triciaal

|dw:1440961060228:dw|

- KJ4UTS

Oh ok so both of these examples are considered functions because they have an input and output. I think compound interest is an exponential function. What would function notation be for these problems?

- triciaal

function only one output for a particular input

- triciaal

compound interest yes exponential function
y varies as power of x

- KJ4UTS

and my second example also applies?

- triciaal

function notation
domain set of input values x: x > or = 1000
range set output values min

- triciaal

buying shares example you need to state the commission cost
net profit = revenue - expenses
profit = (sales - cost )*no of shares - fixed expense the commission
remember y = m*x + b

- triciaal

review any set (x, y) is a relation but when only 1 y for a given x then you have a function

- KJ4UTS

@triciaal thank you for your time and help I am just still not 100% clear if these examples are functions to me I think they have 1 y for a given x?

- triciaal

yes functions only 1 y for any given x

- KJ4UTS

thank you!

- KJ4UTS

If you don't mind what do you think of this example I came up with
Say I have an initial investment of $2,000 and I buy Jet Blue (JBLU) stock for $22.30 per share.
$2,000/$22.30=89.69 or 89 shares
The stock then goes up to a price of $24.64.
89 (shares) * $24.64 (share price) = $2,192.96 (total value)
$2.192.96 - $2,000 = $192.96 (Profit)

- triciaal

the interest received varies as the length of time for the investment
the amount accumulated depends on the time invested

- KJ4UTS

Ok I think I understand it better.

- triciaal

I think you need to define what you are doing then apply the example

- KJ4UTS

Doing as far as a goal?

- triciaal

- triciaal

with this
a) if I have $2000 to invest in jet blue share that cost 22.30 per share how many share will I be able to purchase ?
2000 = 22.30 * x
no of shares = investment / cost per share
b)I own 89 shares of jet blue stocks and value increased by $2 how much will I profit
total profit = no of shares * profit per share

- triciaal

what I am saying is you are putting too much together as one

- KJ4UTS

I see I need to break it up into two parts and this would still be a function right?

- triciaal

saying here you have 2 functions

- KJ4UTS

ok thank you very much

- triciaal

sounds a little more challenging
made an initial investment in jet blue of 2000 when share were 22.30/share if now value is 24.64 how much did I profit?

- triciaal

*24.64 per share

- triciaal

do you see this is YOUR example with both parts. I just worded it so that it flows and leads into what you are doing in terms of how to solve

- triciaal

profit = change in price * no of shares

- KJ4UTS

I see you worded the question so someone could answer it where I just answered it without a clear question.

- triciaal

you got it!!

- KJ4UTS

:)

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