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Is sin x plus cos x an odd or even function?
Neither.
What is nominator and denominator?
In a fraction, the numerator represent the part out of the denominator which represents the total. Neither need be rational (or even real).
How do you determine if a function is even or odd?
You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2
How do you tell if a function is even or odd?
You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2
When do you use even odd and neither functions?
Basically, a knowledge of even and odd functions can simplify certain calculations. One place where they frequently appear is when using trigonometric functions - for example, the sine function is odd, while the cosine function is even.
What is the prime factorization of the square root 512?
The square root of 512 is neither an integer, nor even a rational number, so it has no prime factorization.
Negative sign affects whether or not a number is a rational number?
Only if the negative sign is associated with an even root. In that case, the number is neither rational nor irrational, but is imaginary.
What sign is the rational number if it is even?
The sign of a rational number does not depend on whether it is odd or even.
Is odd or even numbers rational numbers?
Every odd or even number is a rational number, and there are a lot more rational numbers besides those.
Is any even number a rational number?
Yes. Every even number is a rational number.
All rational numbers are a ratio of two integers?
All rational numbers CAN be expressed as a ratio of two integers. They may appear, before simplification, to be expressed in other forms. For example, the rational number 1 can be written as the ratio sin(45)/cos(45) even though neither numerator nor denominator is an integer.
How can you determine whether a function is even odd or neither?
Looking at the graph of the function can give you a good idea. However, to actually prove that it is even or odd may be more complicated. Using the definition of "even" and "odd", for an even function, you have to prove that f(x) = f(-x) for all values of "x"; and for an odd function, you have to prove that f(x) = -f(-x) for all values of "x".
