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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 of a constant function is a horizontal line and will be symmetric with respect to the y-axis. y=0 or f(x)=0 is a constant function which is symmetric with respect to the y-axis. Requirements for an odd function:
-f(x) = f(-x) Geometrically, it is symmetric about the origin. While the constant function f(x)=0 is symmetric about the origin, constant function such as y=1 is not. and if we look at -f(x)=f(-x) for 1, we have -f(x)=-1 but f(-1)=1 since it is a constant function so y=1 is a constant function but not odd. So f(x)=c is odd if and only iff c=0 f(x)=0 is the only function which is both even and odd.
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Is y equals 0 a continuous function?
By the definition of continuity, since the limit and f(x) both exist and are equal (to 0) at each value of x, y=0 is continuous. This is true for any constant function.
Why does sec 0 equals 1?
Secant is 1 over cosine and cosine 0 equals 1.
What is the antiderivative of zero?
The antiderivative of a function which is equal to 0 everywhere is a function equal to 0 everywhere.
What is the domain range asymptote and intercept of the equation y equals 4 times 2 exponent x?
y = 4(2x) is an exponential function. Domain: (-∞, ∞) Range: (0, ∞) Horizontal asymptote: x-axis or y = 0 The graph cuts the y-axis at (0, 4)
What function would have the point 0 0 on it's graph?
x=0
Is fx equals c an even or odd function?
Even (unless c = 0 in which case it is either or both!)
Is there a function that is both even and odd?
Yes f(x)=0 is both even and odd
What is the function that is both even and odd?
f(x) = 0
Can a function be even or odd at same time?
The only function that can do this is f(x)=0, or y=0 What about y2-x2=0
How do you create an odd or even script using PHP?
To determine whether a given number is odd or even: function odd_even($i) { return ($i % 2 == 0 ? 'even' : 'odd'); }
Why you use even and odd function in mathematics?
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) to (x) (note 1) is zero; for an even function, this integral is twice the integral of the function from (0) to (x). Note 1: That is, the area under the function; for negative values, this "area" is taken as negative) is
Why is 0 a even number. When is it's a odd?
0 is a number to divide the positives and the negitives. Then it will be an even in this timeline. -2, -1, 0, 1, 2 Because it goes even odd even odd even. If zero was not there, then it would go even odd odd even.
What is the number that is even and odd?
There is no such number. Many people mistakenly say that 0 is both even and odd or that 0 is neither even nor odd. 0 is even by every mathematical definition of the word "even" and is not odd by every mathematical definition of the word "odd."
Is 0 even and odd?
0 is an even number because it is between two odd numbers.
Test whether a number is even or add?
To test whether a number is even or odd, you can use the modulo operator (%). If the number % 2 equals 0, then the number is even. If the number % 2 is not equal to 0, then the number is odd.
Finite automata in compiler design containing all strings of 0s and 1's with odd no of 0s and 1's?
START (0/1=even/even): 0-->A 1-->B A (0/1=odd/even): 0-->START 1-->STOP B (0/1=even/odd): 0-->STOP 1-->START STOP (0/1=odd/odd): 0-->B 1-->A
Is 0 an even number or an odd?
even :)
