A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Will give medal for help
anonymous
 one year ago
Will give medal for help

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What is the average rate of change from x = –4 to x = 1? –3 –1 0 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Average rate of change = \(\dfrac{f(x)f(a)}{xa}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So your function is shifted to the left an its vertex is at (1,5) How can we write that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No that's not correct.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what did i do wrong?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We need to find our function first.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So if your graph is shifted 1 unit to the left and 5 units down, then you would write it as \(f(x) = (x\color{red}{+}1)^2\color{red}{5}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you see what I mean?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0The average change form x = a to x = b is \(\dfrac{f(b)  f(a)}{b  a}\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0You want the average change from x = 4 to x = 1. It is important to keep the order in m ind. You don't want the average change from x = 1 to x = 4.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Find f(4) and f(1). You can do this by looking in the graph. What is the ycoordinate where x = 4? What is the ycoordinate where x = 1?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0In your case, a = 4, and b = 1, so From the graph: f(4) = 4 f(1) = 1 \(\dfrac{f(1)  f(4)}{1  (4)}\) \(=\dfrac{1  4}{1 + 4}\)
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.