2. A local snail population grows according to the function g(x) = 200(1.03)2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent. Then explain to Iris how the key features of this local snail population compares to the key features of the invasive population.

Question

2.	A local snail population grows according to the function g(x) = 200(1.03)2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent. Then explain to Iris how the key features of this local snail population compares to the key features of the invasive population.

jack1 · Answer

"Then explain to Iris how the key features of this local snail population compares to the key features of the invasive population."... are we missing part of the question, coz this is the first I'm reading about Iris or an Invasive snail population...?

jack1 · Answer

does the function g(x) = 200(1.03)2x
look like this:
$$\huge g(x) = 200 \times (1.03)^(2x)$$
?

jack1 · Answer

damn latex, standby

jack1 · Answer

hmm... my equation function button isn't working either...

anonymous · Answer

I already got it, but thx.

jack1 · Answer

sweet, nvmd thn

anonymous · Answer

aha, can you help me w another one tho?

jack1 · Answer

sure, shoot

anonymous · Answer

3.	Iris wants to graph the invasive snail population to show the city council. Justify what the appropriate domain and range would be for the function f(x), what the y-intercept would be, and if the function is increasing or decreasing.

&g(x) = 200(1.03)2x is the equation.

jack1 · Answer

... u mean f(x) = 200(1.03)^2x... yeah (not g(x)) ...?

anonymous · Answer

yeah suree, lol

jack1 · Answer

i would start at 200, and expand out to 1000 for the range, as you can then prove the time (x) for the population of the invasive species population to increase by 5 times...

jack1 · Answer

domain would pretty much be all real numbers, as this equation would never be negative for the value of f(x)

jack1 · Answer

but if you want to narrow it down, work out the x and y values at x = 0 (hint g(x) = 200, so there's your y-intercept) and at g(x) = 1000, (x=???). As this is an exponential growth function, and the base is greater than 1.0 (in this case = 1.03), it's a positive growth function, so its increasing as x increases and it's also getting steeper as x increases...

jack1 · Answer

zat all make sense maddie? @madisonxo

anonymous · Answer

yes, thank you!

jack1 · Answer

sweet as, hi five  ;D