A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Which of the following options results in a graph that shows exponential decay?
f(x) = 0.6(2)x
f(x) = 3(0.7)x
f(x) = 0.4(1.6)x
f(x) = 20(3)x
anonymous
 one year ago
Which of the following options results in a graph that shows exponential decay? f(x) = 0.6(2)x f(x) = 3(0.7)x f(x) = 0.4(1.6)x f(x) = 20(3)x

This Question is Closed

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1In general, the exponential function is \[\Large f(x) = a*b^x\] The base b determines if you have exponential growth or decay. If `0 < b < 1`, then you have exponential decay. If `b > 1`, then you have exponential growth.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1For example, the function \[\Large f(x) = 33(2.7)^x\] has exponential growth because b = 2.7 is larger than 1.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok so for example f(x) = 3(0.7)to the x power is exponential decay @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1since b = 0.7 is between 0 and 1 ie it makes `0 < b < 1` true

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hey wait can you help me solve another problem? @jim_thompson5910

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For f(x) = 0.01(2)to the x power, find the average rate of change from x=2 to x=10

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1are you able to determine f(2) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nope that's all the question says

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1replace every x with 2 and evaluate the function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0These are the choices: 1.275 8 10.2 10.24

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1ignore the choices for now

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large f(x) = 0.01(2)^x\] \[\Large f(2) = 0.01(2)^2\] \[\Large f(2) = ??\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now evaluate f(10)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you should get something smaller than that, try again

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large f(x) = 0.01(2)^x\] \[\Large f(10) = 0.01(2)^{10}\] \[\Large f(10) = ??\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Last step: compute \[\Large \frac{f(b)f(a)}{ba}=\frac{f(10)f(2)}{102} = ??\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.110.24 is not the answer, but it helps get you there

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large \frac{f(10)f(2)}{102}=\frac{10.240.04}{102} = ??\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And that's the right answer
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.