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anonymous
 one year ago
Can someone take me through this problem?
Create an exponential growth function, f(x), to model a population of frogs that is growing every year. Identify the principal amount, the growth rate, and the appropriate domain and range for your function. Explain how these key features would affect the graph of f(x).
anonymous
 one year ago
Can someone take me through this problem? Create an exponential growth function, f(x), to model a population of frogs that is growing every year. Identify the principal amount, the growth rate, and the appropriate domain and range for your function. Explain how these key features would affect the graph of f(x).

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I came up with this function: f(x)=100*(0.05)^5 100 = the initial frog population 0.05 = that they grow 5% per year ^5 = 5 years Did I do this correctly?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1For 5% growth it should be f(x)=100*(\(\color{red}{1}\).05)^5

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Also, replace 5 by x because the variable "x" represents the number of years : f(x)=100*(\(\color{red}{1}\).05)^\(\color{red}{x}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Other than that, your work looks fine! good job!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh because we don't know how many years

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright how would I create the domain and range?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Kindof, it is because we can think of the function "f(x)" as a formula to which you feed in the number of years "x", and it spits out the population of frogs in that year. dw:1437016213365:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Domain is all the possible numbers that you can feed into that function box what numbers make sense for years ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1they better be nonnegative because, for example, 2 years makes no sense in this context so the domain could be all nonnegative integers : \(x\ge 0\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1range is all the possible numbers that the function box spits out

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1see if you can make a good guess about the range

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1whats the starting population of frogs ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1since the populaiton in increasing, can the funciton box ever spit out anything less than 100 ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Good! range is \(\color{red}{y} \ge 100\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Notice, the general convention is to use \(x\) for independent variable (what goes into the funciton), and \(y\) for dependent variable (what comes out of the function box)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437016788202:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh I get it now I just don't get which sign to put

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1what do you mean "which sign to put"

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1\(\gt\) is read as "greater than"

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1To say, "my score is greater than 90", you may say : my score \(\gt \) 90

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right I get that. It's just that when it comes to writing the domain and the range I don't know which one to apply

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1To say, "y is greater than 100", you may say : y \(\gt \) 100

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think I get it now and I think I got it from here with the graph. Thank you!
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