Using your function f(x) from question 2, demonstrate and explain how to find the average rate of change between year 3 and 5, and between year 5 and 7. Explain what the average rate of change represents to the frog population.

Question

anonymous · Answer

my function is f(x) = a times b^x

anonymous · Answer

@ranga

anonymous · Answer

@wmj259

wmj259 · Answer

what was the question 2 function?

anonymous · Answer

f(x) = a * (b)^x

anonymous · Answer

are you there? @wmj259

calculusfunctions · Answer

The average rate of change (slope of a secant) of a function f(x) over the interval$$x _{1} \le x \le x _{2}$$is$$\frac{ f(x _{2})-f(x _{1}) }{ x _{2}-x _{1} }$$

anonymous · Answer

thank you!!! but what is x2 and x1????

anonymous · Answer

@calculusfunctions ^^

calculusfunctions · Answer

x sub 1 is the smaller of the two x values and x sub 2 is the larger.

calculusfunctions · Answer

Hence if you have to find the average rate between year 3 and year 5, then x sub 1 is 3 and x sub 2 is 5. Understand @haha.lena ?

anonymous · Answer

yes! thank you so much! you are officially medalled. lol xD

calculusfunctions · Answer

lol You're welcome and thank you!