Determine whether the function of f(x)=[[x+1]] is odd, even, or neither.

I figured since it's a step function it automatically couldn't have symmetry and therefore is neither.
and doing the whole f(-x) thing:

which is not equal to f(x) or -f(x).
so the answer would be neither, right?

  1. 👍 0
  2. 👎 0
  3. 👁 74
  1. I am not certain of your symbols

    If you mean f(x)=absolute(x+1) then it is even, with a line of symettry at x=-1

  2. it's a greatest integer function (AKA step function)
    not absolute value.

    1. 👍 0
    2. 👎 0
    posted by Jennifer

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    I know It's probably an easy question but I don't know remember how to do it. Show the work to determine if the relation is even, odd, or neither. a ) f(x) = 2x^2 - 7 b) f(x) = -4x^3 - 2x c) f(x) = 4x^2 - 4x + 4 If f(-x) = f(x),

    asked by manny on August 20, 2007
  2. Algebra Functions

    I don't understand how you determine whether a function is even, odd,or neither. Here are my problems: Determine whether the given function is even, odd, or neither. 8. f(x)=x^3-x^2 This is how I did it. f(-x)=(-x^3)- (-x^2)=

    asked by Soly on September 5, 2007
  3. odd and even functions

    Using f is odd if f(-x) = -f(x) or even if f(-x) = f(x) for all real x, how do I 1)show that a polynomial P(x) that contains only odd powers of x is an odd function 2)show that if a polynomial P(x) contains both odd and even

    asked by Jen on January 30, 2007
  4. pre cal

    Determine algebraically whether the function is even, odd, or neither even nor odd. f as a function of x is equal to 14 times the cube root of x

    asked by Jorgeeee on June 23, 2014
  5. Symmetry

    For these functions, determine which ones are NEITHER even nor odd. A) f(x)=3x^2+|x| B) f(x)= 3x^3+x^2+x-4 C) f(x)= 1/2x D) f(x)= 2x^5-x^3+2x E) f(x)= 4x+1/x F) F(x)= 2x^4+x^2-x+2 Enter the letter of each function separated with a

    asked by Bobb on May 1, 2012
  6. Math

    Determine whether the function x^3+x^2-1 is even, odd or neither. I thought it was odd because it has one negative sign is this correct

    asked by lt on February 22, 2009
  7. Math

    If f and g are functions defined for all real numbers, and f is an odd function, then f ∘ g is also an odd function. Justify. I wrote false cause for example if f = x^3(odd) and g=x^2(even) the fog is even.

    asked by Alex on June 10, 2015
  8. Algebra 2

    Determine whether the function is even, odd, or neither. f(x)=-4x²+5x Its odd right?

    asked by Reanna on July 4, 2011
  9. Algebra2

    Check Please? Determine if the given function is even, odd or neither. 1. f(x) = 3x^4 - 2x^2 =Even. 2. f(x) = x^3 + x = Odd.

    asked by Pam on November 29, 2012
  10. Algebra

    Let f(x) = 1 – 3x^2. Which of the following is true? Give a brief explanation. A. f is an odd function B. f is an even function C. f is neither even nor odd D. f is both even and odd I would say B because an even function is one

    asked by Jacinta on June 28, 2009

More Similar Questions