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What is the composition of an even and an odd function?
For an even function, f(-x) = f(x) for all x. For an odd function, f(-x) = -f(x) for all x.
Is 27 an odd number or even number?
27 is an odd number.
Why is odd times odd numbers always odd numbers?
In the same way that and odd plus and even is always odd. For example, 7*3 = (7+7) odd + odd = even , then add +7, apply rule that odd + even = odd and get that it equals 21.
Why are all multiples of 3 odd and even?
The multiples of all odd numbers are odd and even. Odd x odd = odd. Odd x even = even. Since odd and even numbers alternate, the multiples will alternate as well.
Is the sum of an odd number and an even number always even?
No. Sum of odd + odd = even Sum of odd + even = odd Sum of even + even = even
How is the function x plus sin x best described?
It is an increasing odd function.
Is the sine functions an odd function?
Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.
Why is the secant function is an even function and the tangent and cosecant are odd functions?
I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.
Is the Sine function an odd function?
Yes
What are even and odd functions?
An even function is a function that creates symmetry across the y-axis. An odd function is a function that creates origin symmetry.
Is signum function an odd or even function?
both
What is the difference of odd and even functions?
An even function is symmetric about the y-axis. An odd function is anti-symmetric.
What is A function whose graph is symmetric about the origin?
Odd Function
Is sine function odd?
Yes.
Is cosecant odd function?
yes
Is signam function even or odd and why?
I have no idea about the signam function.The signum function is odd because sgn(-x) = -sgn(x).
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
