An equation in this context usually has two variables, let's say x and y. A function in this case usually has one variable as an input let's say x. f(x) is the output of the expression that defines the function.
There are some criteria of a function that equations do not have. Functions must only have one output per input, basically, if you draw a vertical line anywhere on the graph, the line must only intersect at one point.
So how does an equation represent a function? We can use the second variable in the equation to represent the output of the function and isolate f(x)
Examples:
x+ 3y = 10
x + 3f(x) = 10
3f(x) = 10 - x
f(x) = (10-x)/3
x+ 3y = 10 represents f(x) = (10-x)/3
Trying x^2+y^2=9 would not work, because isolating for y we would get and equation of y = (plus or minus)sqrt(9-x^2) which does not follow the criteria of a function.
Hope it helped!
Input/output table, description in words, Equation, or some type of graph
You cannot represent a proportional relationship using an equation.
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
b is the negative sum of the roots of the equation
Use this cordinate ,find the other cordinate that makes the ordered pair a solution of the given equation: x+4y=7,(_,3)
Without an equality sign it is not an equation.
The coordinates of the points on the curve represent solutions of the equation.
The [ 2x + 1 ] represents a function of 'y' .
No, this is not a function. The graph would have a vertical line at x=-14. Since there are more than one y value for every given x value, the equation does not represent a function. The slope of the equation also does not exist.
A=S2... Where A = area, and S = length of one side.
Input/output table, description in words, Equation, or some type of graph
what a sufficent condition that shows a equation does not represent a linear function
Input/output table, Equation, or some type of graph
The solution is the answer to an equation.
The equation x=c where c is a constant is the equation of a vertical line. It can't be a function but it is linear so the answer is no. For example, the vertical line produced by the linear equation x = 3 does not represent a function. We cannot write this equation so that y is a function of x because the only x-value is 3 and this "maps" to every real-number y.
You cannot represent a proportional relationship using an equation.
In a periodic equation a triangle can be used to represent the given change of something.