Math Problem?

Question

How do you write an eqaution in function form? Please show example.

Answer 1

You can really only set up an equation as a function if it is a multi-variable equation. If you have only one variable, it would need to be an expression, not an equation (x + 3 is an expression; x + 3 = 8 is an equation), in order to work as a function.

A function work just like either of the variables in a two-variable equation. Take for example the following equation:
y = x + 1
Expressed in words, this could be stated as "for every number 'x,' there is a corresponding number 'y' that is equal to one more than the value of 'x.'"

You can do the same thing with a function, as such:
f(x) = x + 1
This could be stated as "for every number 'x,' there is a function of x that produces a result whose value is one more than the value of 'x.'"

In practical use, they generally mean the same thing.

Answer 2

Example is y= f(x) = x^2 + 2x +3
All this means is that y depends on the value of x or, in other words, the value of y is a function of x. We use f(x) to mean "function of x".

A function means that for each value of x, there is only one value of y. If you look at the graph of an equation, it is a function if and only if, for each x there is only one value of y. If for one value of x you have more than one value of y, then the equation is not a function. For example, the equation of a circle is x^2 + y^2 = r^2 where r is the radius of a circle. If the center of the circle is at the origin, you can see that for a value of x, there will be two values of y. One in the top semicircle and one in the bottom semicircle. Therefore, the equation of a circle is not a function.

Answer 3

f(X)= x+1 (equation)
for example: x= 2
f(2)= 2+1
f(2)=3
f=2/3

Answer 4

x+1 = 0

f(x) = x+1

Answer 5

f(X)=f(X+1)+f(XxX+X1)=3

Answer 6

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