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
The set of all values of x, for which the equation is true is the domain of the function defined by that equation.
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.
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.
Any equation which maps each value of x in the domain to a value in the range is a function of x.
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.
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
Any equation which maps each value of x in the domain to a value in the range is a function of x.