Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
MarcLeclair
Group Title
Graph the function f(x) = x + 4 / x
Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes
Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [1,8]
 one year ago
 one year ago
MarcLeclair Group Title
Graph the function f(x) = x + 4 / x Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [1,8]
 one year ago
 one year ago

This Question is Closed

MarcLeclair Group TitleBest ResponseYou've already chosen the best response.0
So do I have to find the second derivative, and critical points? then sketch it, THEN find the line? or i can just use f'(c) = f(a)f(b)/ab ?
 one year ago

EulerGroupie Group TitleBest ResponseYou've already chosen the best response.1
Some hints from algebra would be that there is a vertical asymptote at x=0 and a slant asymptote at y=x. A first derivative test will then tell you the extrema. At that point a second derivative test will just confirm what should be obvious at that point, so I would just graph it without the second derivative. You can draw the secant line by simply drawing a line through the given points on the graph. They didn't ask for the line's equation, so I wouldn't look for it. Then use your Mean Value Theorem as you stated to find the x location of the tangent line whose slope matches the slope of the secant line. They didn't ask, but if you draw a line on the graph of the function with that slope at the x location that you find, you should have two parallel lines on your graph.
 one year ago
See more questions >>>
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.