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Let's assume (for simplicity) that "y" is a function of "x". That means that for every value of "x", there is a unique value of "y". In this case, if the equation can be solved for "y", it is a function. Some equations are difficult or impossible to solve explicitly for "y"; in this case, "y" may still be a function of "x", if for every value of "x" only a single value of "y" is possible for the equation. However, if this is the case, it may be difficult to verify.

Q: How do you tell if an equation is a function?

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An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.

An equation just has an equal sign. A function is basically just an equation without one!

There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.

i may only be 10 yrs old but i can say that an equation is not an function like the graphs of quadratic functions you will only be given an equation

If what is meant is that the exercise asks whether or not y is a function of x, then it can be determined by a brief experiment with the numbers and variables presented in the equation written. If y is isolated from x depending on the organization of whichever total side of the equation where both variables are written, then it becomes simpler to find whether or not y is a function of x. For example, if the equation is written y2 = x + 4, then y is a function of x because x and y are isolated to different sides of the equation. But if the equation is written, for instance, as y2 + 5x = 4, then y is not a function of x because x and y are not isolated to different sides of the given equation. Furthermore, this rule does not depend upon fractions or estimations. The rule holds true because y is a function of x if x and y are related according to the format of the whole equation and the numbers it contains.

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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.

An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.

Verticle line test man. If it intersects two points it is its not a function. if it hits one point it is a function. and im currently looking up to see how it is a equation...

If the quadratic function is written as ax2 + bx + c then if a > 0 the function is cup shaped and if a < 0 it is cap shaped. (if a = 0 it is not a quadratic) if b2 > 4ac then the equation crosses the x-axis twice. if b2 = 4ac then the equation touches the x-axis (is a tangent to it). if b2 < 4ac then the equation does not cross the x-axis.

a function rule

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.

The set of all values of x, for which the equation is true is the domain of the function defined by that equation.

An equation just has an equal sign. A function is basically just an equation without one!

A logarithmic equation would be any equation that includes the log 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.

There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.

No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.