CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Let f(x) be a function defined as f(x)=a|x|+b. If f(6)=5 and f(3)=4, then which of the following is/are correct?
  1. f(x)=3|x|+13
  2. ab=1
  3. Domain of f(x) is R
  4. Range of f(x)=[3,)


Solution

The correct options are
B ab=1
C Domain of f(x) is R
D Range of f(x)=[3,)
f(x)=a|x|+b 
f(6)=56a+b=5   ...(1) 
f(3)=43a+b=4   ...(2)
On solving (1) and (2), we get
a=13,b=3

f(x)=|x|3+3
Clearly, domain of f(x) is R

Since, |x|0  xR
|x|3+33
Therefore, range of f(x)=[3,)

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...


People also searched for
QuestionImage
QuestionImage
View More...



footer-image