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.
The equation for a circle is a function in that it can be graphed and charted. One common equation is x^2 + y^2 = r^2.
f (x) = 2/3 x + 2
It would be rewritten as y=(2/5)x+3
1) Solve the equation for the desired variable. 2) Write it in function notation. For example, if y = 2x + 3, it is already solved for "y"; just rewrite it as f(x) = 2x + 3.
Any equation which maps each value of x in the domain to a value in the range is a function of x.
y=3x+12
You can rewrite the equation as... 100=10x X=2
y = -x-2
An example of a wrong function equation is f(x) = sqrt(x) for all non-negative x.
y=-x+8
No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.
1 + 7y = 5x - 2 7y = 5x - 3 - 5x = - 7y - 3 x = 7/5y + 3/5 ---------------------
It is: y = x-1