A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Please Help .....
The figure shows the graph of the function f, defined by f(x)= 2x+4 for all numbers x. For which of the following functions g, defined for all numbers x, does the graph of g intersect the graph of f?
A. g(x)= x2
B. g(x)= x+3
C. g(x)= 2x2
D. g(x)= 3x2
anonymous
 one year ago
Please Help ..... The figure shows the graph of the function f, defined by f(x)= 2x+4 for all numbers x. For which of the following functions g, defined for all numbers x, does the graph of g intersect the graph of f? A. g(x)= x2 B. g(x)= x+3 C. g(x)= 2x2 D. g(x)= 3x2

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442374334038:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i know the answer i just need to know how to do it please

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think a quick way to get the answer is to notice that the slope of f(x) = 2x + 4 is 2, while the slope of f(x) = 2x + 4 is 2. Since f(x) = 2x + 4 is basically a composite of these functions, the new f(x) is either increasing with slope 2 or decreasing with slope 2. To have a new linear function g(x) that is sure to intersect this function, the linear function has to be even steeper than this function, i.e. slope < 2 or slope > +2. Of your five choices, the only one meeting this requirement is E.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you copy and pasted this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0https://au.answers.yahoo.com/question/index?qid=20110704084502AArYawN

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well i believe that explains pretty well

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont see what else i can add

phi
 one year ago
Best ResponseYou've already chosen the best response.1the slope of a line tells you how "steep" it is. if the slope is a big number, it would be harder to walk up it. from your graph dw:1442413792486:dw we should get the idea that some lines are too flat to ever intersect (meet) the red line

phi
 one year ago
Best ResponseYou've already chosen the best response.1if that makes sense, then the next step is to figure out what is "too flat" or how steep does the line have to be ? we know that lines with the same slope are parallel to each other parallel means they never meet. y= 2x +4 for x>=0 we can drop the   (they make the inside positive, but for x>0 it already is positives so the absolute value does nothing) so for x>=0 y= 2x+4 any line with a slope of 2 will be parallel to this line. Choice C is C. g(x)= 2x2 that has slope =2. so that line never meets the y=2x+4 line choices A and B have slopes of 1 and their yintercepts are below the line in the graph. so those lines have a slope that is too flat. only choice D has a steep slope = 3 that is bigger than 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmmmm this is pretty difficult but I think i kinda get it now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The part about the steepness of the slope and what it has to do with the given answers.

phi
 one year ago
Best ResponseYou've already chosen the best response.1do you have paper and a ruler? draw a V shape like in your graph. now put the ruler below the V and draw a "flat line" If you do that, you should see that the flat line will not meet the V now make the ruler a little more steep , and draw another line if you keep doing that, at some point, the line you draw will meet the V

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh wait i reread your explanation up there a couple times and now i got it lolol

phi
 one year ago
Best ResponseYou've already chosen the best response.1once you get the idea, you next need to look at an equation of a line and see which equation has a slope bigger than 2 (which is the slope of the V)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yea I see now why it's choice D. Thanks phi you're the best!
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.