The graphical way is probably the simplest. Draw a graph of the equation. Hold a ruler parallel to the y axis and slide it from left to right. If, at any point, the ruler touches the graph at more than one point then you do not have a function.
Revenue(x) = Price(x) * x
You can tell if an equation is a function if for any x value that you put into the function, you get only one y value. The equation you asked about is the equation of a line. It is a function.
The set of all values of x, for which the equation is true is the domain of the function defined by that equation.
It means you should rearrange the equation so that x is on one side of the equal sign, and everything else on the other, with no "x" on the right side of the equation. For instance, if I was told to express x as a function of y and given the equation: x-4y=6 I would express x as a function of y by rearranging the equation to read: x = 6+4y
An equation where the left is the function of the right. f(x)=x+3 is function notation. The answer is a function of what x is. f(g(x))= the answer the inside function substituted in the outside function.
If a graph is a function, it will always have y=... or x=... (or anoher letter equals an equation) for example y= 3x-12 is a function
To generate an arctan function from a set of data, you will need to define the arctan. This function equation is as follows: arctan = (i/2) * log[(i+x) / (i-x)].
For the equation (9x^2)/(x^2+4)
The domain of the function f(x) = (x + 2)^-1 is whatever you choose it to be, except that the point x = -2 must be excluded. If the domain comes up to, or straddles the point x = -2 then that is the equation of the vertical asymptote. However, if you choose to define the domain as x > 0 (in R), then there is no vertical asymptote.
If an equation is a function, then:The set of coordinates doesn't consists of the same first member. For instance, the set can't contain (1,2) and (1,1).There exists only a function within the specific interval. For instance, f(x) = x within -1 ≤ x ≤ 1 and x + 2 within 1 < x ≤ 3. If f(x) = x and x + 2 within -1 ≤ x ≤ 1, then this doesn't make an equation the function.
To determine the trend of linear function graph or equation you would simply look at the slope of the line. This is represented by the m in the equation, f(x) = mx + b.
Any equation which maps each value of x in the domain to a value in the range is a function of x.
Both. If you look at it like this: y=41-x you say x is independent and y is dependent of x (i.e. y is a function of x) For x=41-y you say y is independent and x is dependent of y (i.e. x is a function of y)
An example of a wrong function equation is f(x) = sqrt(x) for all non-negative x.
No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.
An equation is a function if it is in y=mx+b form or has a y= in foront of it. f(x) is a classic way of writing a function. Ex) X^2 is a function
Revenue(x) = Price(x) * x