Unanswered

Answered

In
Trigonometry

Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function. Full Answer

Answered

An even function is a function that creates symmetry across the y-axis. An odd function is a function that creates origin symmetry. Full Answer

Answered

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… Full Answer

Answered

In
Trigonometry

Yes Full Answer

Unanswered

Answered

An odd function f(x) is one that satisfies the identity f(-x) = -f(x). Full Answer

Answered

An even function is symmetric about the y-axis. An odd function is anti-symmetric. Full Answer

Answered

both Full Answer

Unanswered

Unanswered

Unanswered

Unanswered

Answered

Odd Function Full Answer

Answered

I have no idea about the signam function.The signum function is odd because sgn(-x) = -sgn(x). Full Answer

Answered

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… Full Answer

Answered

For an even function, f(-x) = f(x) for all x. For an odd function, f(-x) = -f(x) for all x. Full Answer

Unanswered

Unanswered

Unanswered

Answered

Yes. Full Answer

Answered

yes Full Answer

Unanswered

Answered

It is an odd function. Even functions use the y-axis like a mirror, and odd functions have half-circle rotational symmetry. Full Answer

Answered

Answered

In
Calculus

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. A function can be either. Full Answer

Answered

In
Calculus

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… Full Answer

Answered

If you know that a function is even (or odd), it may simplify the analysis of the function, for several purposes. One example is the calculation of definite integrals: for an odd function, the integral of a function from (-x)… Full Answer

Answered

Yes f(x)=0 is both even and odd Full Answer

Unanswered

Unanswered

Answered

An even function is symmetric about the y-axis. If a function is symmetric about the origin, it is odd. Full Answer

Answered

False; the cosine function is an even function as cos(-x) = -cos(x). Full Answer

Answered

It is an increasing odd function. Full Answer

Answered

In
Algebra

if it is symmetric and centered at the origin, It is can be called an odd function Full Answer

Answered

Odd thing Full Answer

Answered

In
Calculus

f(x) = 0 is a constant function. This particular constant function is both even and odd. Requirements for an even function: f(x) = f(-x) Geometrically, the graph of an even function is symmetric with respect to the y-axis The graph… Full Answer

Answered

In
Calculus

You use an even function if f(-x) = f(x) for all x.You use an odd function if f(-x) = -f(x) for all x.and you use neither if there is at least one point for which one or the other of… Full Answer

Answered

An arithmetic sequence can consist of only odd numbers but it cannot be an odd function since it need not be defined for negative values of the index. Full Answer

Answered

Reflection about the y-axis. Full Answer

Answered

f(x) = 0 Full Answer

Answered

The only way a function can be both even and odd is for it to ignore the input, i.e. for it to be a constant function. e.g. f(x)=4 is both even and odd. An even function is one where f(x)=f(-x)… Full Answer

Answered

A basic wave function is a sine or cosine function whose amplitude may have a value other than 1. The cosine function is an even function because it is symmetrical about the y-axis. That is, f(-x) = f(x) for all… Full Answer