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f(x) is just a way of saying a function of x, instead of saying "y=3x" you can write
f(x) (3x), or in the case of a periodic function, you might have something like f(x) = sin(x).
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Function notation fx is read as?
If it were written in a book of some sort, fx or f(x) is read aloud as "f or x". "f" is a function of some variable, "x". By function it means something happens to x e.g. x2 or 3x+4.
What does a period mean in maths?
A function f(x) of the variable x, has a period k where k is some constant, if f(x+ k) = f(x) for every x. It is easy to show that f(x + nk) = f(x) for any integer n. What the above two formulae imply is that the values of the function repeat after an interval (or period) of k. The trigonometric functions are some of the better known periodic functions.
When the constant term is negative'?
It means that the value of the function, f(x), is negative when x = 0.
What does it mean if a zero of a function is 4?
It means the value of the function equals zero when the argument is 4. For example: f(x)=x-4 f(4)=4-4=0
What notation represents a function as f x instead of y?
'Y' is a function 'f' of 'x': Y = f(x) . 'Z' is a function 'g' of 'y': Z = g [ f(x) ] .
What is a periodic function?
f is a periodic function if there is a T that: f(x+T)=f(x)
What are periodic functions?
A nonconstant function is called periodic if there exists a number that you can add to (or subtract from) the argument and get the same result. The smallest such positive number is called the period. That is, nonconstant function f(x) is periodic, if and only if f(x) = f(x + h) for some real h. The smallest positive such h is the period. For example, the sine function has period 2*pi, and the function g(x) := [x] - x has period 1.
What is fourier series?
Consider a periodic function, generally defined by f(x+t) = f(x) for some t. Any periodic function can be written as an infinite sum of sines and cosines. This is called a Fourier series.
Explain why f represents the graph of a function?
if the question is why is it labelled as f(x) ? it means the function (the 'f') at a certain x value. saying f(x) is said as 'f at x'. it's the same as saying 'function at x'
What does function notation means?
Function notation means the function whose input is x. The mathematical way to write a function notation is f(x).
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.
Which functions has a period?
You can invent any function, to make it periodic. Commonly used functions that are periodic include all the trigonometric functions such as sin and cos (period 2 x pi), tan (period pi). Also, when you work with complex numbers, the exponential function (period 2 x pi x i).
What is the solution for function of function of x equals function of x?
f(f(x)) = f(x). Only if f is 1-1 then we have a solution f(x)=x.
Function notation fx is read as?
If it were written in a book of some sort, fx or f(x) is read aloud as "f or x". "f" is a function of some variable, "x". By function it means something happens to x e.g. x2 or 3x+4.
How do you determine if a function is even?
A function f(x) is Even, if f(x) = f(-x) Odd, if f(x) = -f(-x)
In mathematics what does compose mean?
That is related to "composition", the composition of functions. That means you apply one function after another. f(g(x)) means you first apply function "g" to the variable "x", then you apply function "f" to the result.
What does a period mean in maths?
A function f(x) of the variable x, has a period k where k is some constant, if f(x+ k) = f(x) for every x. It is easy to show that f(x + nk) = f(x) for any integer n. What the above two formulae imply is that the values of the function repeat after an interval (or period) of k. The trigonometric functions are some of the better known periodic functions.
