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

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. Originally Posted by Abhishekdas
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.

3. Originally Posted by Abhishekdas
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?

4. Originally Posted by Abhishekdas
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!

Originally Posted by Jomo
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. ## [What Does This Mean?]

Originally Posted by Jomo
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.

Originally Posted by stapel
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?

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. Originally Posted by Abhishekdas
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?

9. ## NO

Originally Posted by Subhotosh Khan
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. Originally Posted by Abhishekdas
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