Shas72
Badges: 9
Rep:
?
#1
Report Thread starter 4 weeks ago
#1
F(x)=|5-2x|+3 for 2<x<8. Find the range of the function F.
When I do this I get 4<f(x)<14 but the ans is 3<f(x)<14.
0
reply
vbzl
Badges: 9
Rep:
?
#2
Report 4 weeks ago
#2
(Original post by Shas72)
F(x)=|5-2x|+3 for 2<x<8. Find the range of the function F.
When I do this I get 4<f(x)<14 but the ans is 3<f(x)<14.
The minimum value of |5-2x| is 0 when x = 2.5. I would suggest you to draw the graph first, then determine the range.
1
reply
Shas72
Badges: 9
Rep:
?
#3
Report Thread starter 4 weeks ago
#3
ok I will do that
0
reply
Sylvester Junior
Badges: 3
Rep:
?
#4
Report 4 weeks ago
#4
Cross Check the answer with ur teacher because I also had 4<f(x)>14
0
reply
Shas72
Badges: 9
Rep:
?
#5
Report Thread starter 4 weeks ago
#5
ok sure which means there must be an error in the book
0
reply
vbzl
Badges: 9
Rep:
?
#6
Report 4 weeks ago
#6
(Original post by Shas72)
ok sure which means there must be an error in the
3<f(x)<14 is the correct answer. Have you drawn the graph?
0
reply
Shas72
Badges: 9
Rep:
?
#7
Report Thread starter 4 weeks ago
#7
I did (2,4),(2.5,3) and (8,14)
0
reply
Shas72
Badges: 9
Rep:
?
#8
Report Thread starter 4 weeks ago
#8
Name:  image-5d70f47f-71e1-4972-af9a-6d549546d5177709159911541463758-compressed.jpg.jpeg
Views: 10
Size:  67.9 KB
0
reply
vbzl
Badges: 9
Rep:
?
#9
Report 4 weeks ago
#9
(Original post by Shas72)
Name:  image-5d70f47f-71e1-4972-af9a-6d549546d5177709159911541463758-compressed.jpg.jpeg
Views: 10
Size:  67.9 KB
Do you see how the range is 3<f(x)<14 now?
0
reply
Shas72
Badges: 9
Rep:
?
#10
Report Thread starter 4 weeks ago
#10
I still dont understand
0
reply
Shas72
Badges: 9
Rep:
?
#11
Report Thread starter 4 weeks ago
#11
you mean 3 is the least you can get
0
reply
Shas72
Badges: 9
Rep:
?
#12
Report Thread starter 4 weeks ago
#12
the vertex
0
reply
vbzl
Badges: 9
Rep:
?
#13
Report 4 weeks ago
#13
(Original post by Shas72)
you mean 3 is the least you can get
Yes indeed. The range of the function is the minimum value of f(x) up to the maximum value of f(x) for 2<x<8
0
reply
Shas72
Badges: 9
Rep:
?
#14
Report Thread starter 4 weeks ago
#14
thanks a lot!
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • Bournemouth University
    Undergraduate Open Day Undergraduate
    Wed, 19 Feb '20
  • Buckinghamshire New University
    Postgraduate and professional courses Postgraduate
    Wed, 19 Feb '20
  • University of Warwick
    Warwick Business School Postgraduate
    Thu, 20 Feb '20

People at uni: do initiations (like heavy drinking) put you off joining sports societies?

Yes (166)
66.4%
No (84)
33.6%

Watched Threads

View All