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An even function is symmetric around the vertical axis. An odd function - such as the sine function - has a sort of symmetry too - around the point of origin. If you graph this specific function (for example, on the Wolfram Alpha website), you can see that the function has none of these symmetries. To prove that the function is NOT even, nor odd, just find a number for which f(x) is neither f(-x) nor -f(-x).
Actually proving that a function IS even or odd (assuming it actually is) is more complicated, of course - you have to prove that it has the "even" or the "odd" property for EVERY value of x.
Let f(x) = 2x3 - x2. Notice that f is defined for any x, since it is a polynomial function.
If f(-x) = f(x), then f is even.
If f(-x) = -f(x), then f is odd.
f(-x) = 2(-x)3 - (-x)2 = -2x3 - x2
Since f(-x) ≠ f(x) = 2x3 - x2, f is not even.
Since f(-x) ≠ - f(x) = -(2x3 - x2) = -2x3 + x2, f is not odd.
Therefore f is neither even nor odd.
What else can I help you with?
What is sine squared?
Answer 1 Put simply, sine squared is sinX x sinX. However, sine is a function, so the real question must be 'what is sinx squared' or 'what is sin squared x': 'Sin(x) squared' would be sin(x^2), i.e. the 'x' is squared before performing the function sin. 'Sin squared x' would be sin^2(x) i.e. sin squared times sin squared: sin(x) x sin(x). This can also be written as (sinx)^2 but means exactly the same. Answer 2 Sine squared is sin^2(x). If the power was placed like this sin(x)^2, then the X is what is being squared. If it's sin^2(x) it's telling you they want sin(x) times sin(x).
What is 3 squared x 4 squared?
3 squared = 9 4 squared = 16 9 x 16 = 144 3 squared x 4 squared = 144
What is a squared x b squared x c squared?
a^2b^2c^2 ^2 is squared
What is the correct factored form of the given equation 6x2 -13x - 8 equals 0?
Im assuming the "6x2" is supposed to be 6x squared. The factored form would be (2x+1) (3x-8)
What is 1 minus cos squared?
sin squared
Why is x squared a inverse function?
X squared is not an inverse function; it is a quadratic function.
Is y equals x squared -4x plus 3 a domain or range?
Y = x squared -4x plus 3 is an equation of a function. It is neither called a domain nor a range.
Is the circumference of a circle cubed or squared?
Neither.
Evaluate the function e squared by ln 3?
squared 3
What is the answer to the problem?
mc squared
What is the volume of 15 squared?
15 squared is either a two dimensional area or simply a number. Neither of these can have a volume.
What is nine squared take away one?
I believe you are supposed to calculate nine squared, and then subtract one from the result.
How do you do this problem 8x squared 3x squared (not quadatric)?
They are like terms and can be added together as 11x squared
Why is the area of a problem squared?
You multiply it and your finding space of what it has. The multiplication makes the squared.
What is the answer to Einstein's problem?
mc squared
Is the answer to an area problem squared?
yes
How do you simplify the square root of a squared plus b squared?
sqrt(a2 + b2) can't be simplified. Neither can (a2 + b2) .
