Page 1 of 2 12 LastLast
Results 1 to 10 of 15

Thread: How to solve: If f(x) is even fcn, find range of b. f(x)=[3.5+bsinx] where [] is gif

  1. #1

    How to solve: If f(x) is even fcn, find range of b. f(x)=[3.5+bsinx] where [] is gif

    If f(x) is an even function, then find range of b.
    f(x)=[3.5+bsinx] where [] is gif.

    I couldn't try anything as I have no idea how to proceed.

  2. #2
    Elite Member
    Join Date
    Jun 2007
    Posts
    17,190
    Quote Originally Posted by Abhishekdas View Post
    If f(x) is an even function, then find range of b.
    f(x)=[3.5+bsinx] where [] is gif.

    I couldn't try anything as I have no idea how to proceed.
    please explain that part of the statement.
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

  3. #3
    Elite Member stapel's Avatar
    Join Date
    Feb 2004
    Posts
    15,661

    Cool

    Quote Originally Posted by Abhishekdas View Post
    If f(x) is an even function, then find range of b.
    f(x)=[3.5+bsinx] where [] is gif.
    How does "b" relate to any of the rest of what you've posted? Have you posted one exercise, or two? When you say you "have no idea how to proceed", do you mean that you don't know what "even" and "odd" functions are? Or you're not familiar with trig functions? Or you're not familiar with functions and function notation?

    Please reply with specifics, in addition to answering the question in the previous response. Thank you!

  4. #4
    Senior Member
    Join Date
    Dec 2014
    Posts
    1,409
    Quote Originally Posted by Abhishekdas View Post
    If f(x) is an even function, then find range of b.
    f(x)=[3.5+bsinx] where [] is gif.

    I couldn't try anything as I have no idea how to proceed.
    Before you or anyone can even start a problem like this you must know what [] and an even function means. Do you know these definitions? Do you know the steps to show if a function is even or not? You can't play the game if you don't know the rules!
    A mathematician is a blind man in a dark room looking for a black cat which isn’t there. - Charles R. Darwin

  5. #5

    Reply

    Quote Originally Posted by Jomo View Post
    Before you or anyone can even start a problem like this you must know what [] and an even function means. Do you know these definitions? Do you know the steps to show if a function is even or not? You can't play the game if you don't know the rules!
    OK! I know what even or odd function means.
    If a function is even, then f(x)=f(-x). I did try to do the same thing with this question also, but got nothing out of it.

  6. #6

    [What Does This Mean?]

    Quote Originally Posted by Jomo View Post
    Before you or anyone can even start a problem like this you must know what [] and an even function means. Do you know these definitions? Do you know the steps to show if a function is even or not? You can't play the game if you don't know the rules!
    Ok! So [] means greatest floor function or greatest integer function.

  7. #7

    Reply

    Quote Originally Posted by stapel View Post
    How does "b" relate to any of the rest of what you've posted? Have you posted one exercise, or two? When you say you "have no idea how to proceed", do you mean that you don't know what "even" and "odd" functions are? Or you're not familiar with trig functions? Or you're not familiar with functions and function notation?

    Please reply with specifics, in addition to answering the question in the previous response. Thank you!
    I know quite a bit about trig and functions. I did try to do f(x)=f(-x), but it didn't work out.

  8. #8
    Elite Member
    Join Date
    Jun 2007
    Posts
    17,190
    Quote Originally Posted by Abhishekdas View Post
    I know quite a bit about trig and functions. I did try to do f(x)=f(-x), but it didn't work out.
    Is

    f(x) = 3.5 + b * sin(x)

    an even function? Why yes or no?
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

  9. #9

    NO

    Quote Originally Posted by Subhotosh Khan View Post
    Is

    f(x) = 3.5 + b * sin(x)

    an even function? Why yes or no?
    becoz [3.5+bsinx] is not equal to f(x) = 3.5 + b * sin(x)

  10. #10
    Elite Member
    Join Date
    Jun 2007
    Posts
    17,190
    Quote Originally Posted by Abhishekdas View Post
    becoz [3.5+bsinx] is not equal to f(x) = 3.5 + b * sin(x)
    Then do you not see that the only way f(x) can become an even function is when b = 0
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

Tags for this Thread

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •