Math (precalculus)
posted by Lucy .
I have a question about the symmetry of graphs, but maybe it's more of a simple factoring question...
Why is f(x)=x+(1/x) odd, while h(x)=xx^2 is neither even nor odd?
I understand that f(x)=x1/x=(x+1/x)=f(x) is odd because f(x)=f(x).
Then for h(x)=xx^2...why can't you factor out the negative in this question like the previous one? But my textbook leaves it like this and says it's neither even nor odd...

h(x) = x  x^2
h(x) = x x^2
but x is not x so that part is odd
while x^2 is x^2 so that part is even
for odd I needed
h(x) = x + x^2 = (xx^2)
for even I needed
h(x) = x  x^2
Respond to this Question
Similar Questions

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 powders … 
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), for … 
Algebra
Let f(x) = 1 – 3x^2. Which of the following is true? 
Algebra
Let f(x) = 1 – 3x^2. Which of the following is true? 
Algebra
Confused Please Help! Thanks! Let f(x) = 1 – 3x^2. Which of the following is true? 
Algebra
Let f(x) = 1 – 3x^2. Which of the following is true? 
math
what will i answer if the question is " identify the symmetry" is it even/odd FUNCTION or Even/odd SYMMETRY? 
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+x4 C) f(x)= 1/2x D) f(x)= 2x^5x^3+2x E) f(x)= 4x+1/x F) F(x)= 2x^4+x^2x+2 Enter the letter of each function separated with a … 
Calculus, check my answer, please! 1
Did I get this practice question right? 1. Consider the following functions: f(x)=cos(x^3x) h(x)=x3^3 g(x)=1n(x+3) s(x)=sin^3(x) Which of the following is true? 
math
in lotto draw balls 150 mixed together. machine randomly selects numbers 13,11,7,27,41. is the 6th number drown A. more like to be odd than even b. more likely to be even than odd c. equally likely i could not decide, as long as there …