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Is an equation a function if it has more than one x value for every y value?
Wiki User
∙ 13y ago
Yes. If it had more than one y value for each x value, on the other hand, it would not.
A function is "Something that has a value depending on some input". Now an equation is something like Function(of x) = 0. You could say this equation has 2 possible values, True or False. This is not the same thing as saying there are two values of x to make the zero. So y=x2 has two values of x for every y. Generally, nobody would say y=x2 is a function. Except in the sense that it the equation is true for some values of x and y, and false for any others.
Wiki User
∙ 13y ago
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Is the equation x equals 7 a function?
No. The equation x=7 has an undefined slope since it is simply a vertical line located at x = 7. A basic test for a function is if you can draw a vertical line through the graph of the equation and it touches in more than one place, it is NOT a function.
Which relations are function's Relation?
I'm not sure what exactly you're asking about, but if you're asking about the difference between relations and functions, here's the answer.In a relation, a value in the domain may have one or more values in the range. That is, for every x on graph there may be more than one value of y. In terms of word problems and such, x is the independent variable (i.e. time) and y is the dependent variable (i.e. temperature). Basically, if you graph a relation, you can draw a vertical line anywhere on the graph and that line may intersect one or more points on the graph. A circle or a horizontal parabola is a relation, not a function.In a function, for every value in the domain there is only one value in the range. That is, for every value of x there is one and only one value of y. If you draw a vertical line anywhere on the graph of the function, it will only intersect the graph once. If it intersects the graph more than once, then that graph is not a function. An example of a function would be a vertical parabola, a line, or a cubic.Hope that helps.
How do you determine if an equation in x and y define y as a function of x?
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.
How do we know that the input have one output or more in a function in math?
By definition. If one input has more than one outputs then it is not a function.
Which values for a b or c can you not use the quadratic equation?
a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.
How do you identify if the given equation is function or not?
A function is an equation (a relation) which has only one y-value for every x-value. If a single x-value has more than one y-value, the equation is no longer called a function.
Is the linear equation X equals -14 a function?
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.
How does a function differ from an equation?
A function is a rule to calculate a variable, based on one or more other variables. It may be written as an equation, but unlike a generic equation, in a function, for every value of the input variables, it may ONLY have ONE result.
Is the graph of every line a function?
No. One argument of function may have only one value. So, if it has more than one value, it is not a function.
What does solve for a function mean?
Calculating its answer. A function is an equation - though more formally perhaps, a particular type of equation or way of writing equations. So if say, y = 3x3 then solving it means finding the value of y for a given value of x.
How can you determine if a linear equation is a function?
If we are talking about a linear equation in the form y = mx + b, then all linear equations are functions. Functions have at most one y value to every x value (there may be more than one x value to every y value, and some x- and y-values may not be assigned at all); all linear equations satisfy this condition.Moreover, linear equations with m ≠ 0 are invertible functions as well, which means that there is at most one x-value to every y-value (as well as vice versa).
What is a relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
What is the relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
Is a relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
Why a function can have at most one y-intercept?
Assuming that y is a function of x, that follows from the definition of a function. For each x-value, there can only be one y-value. The definition of a function is that (in this case), for every value of "x", a value of "y" can be calculated unambiguously. In the more general case, for every combination of the independent variables, a single value for the dependent variable can be calculated unambiguously.
How do you define function in Mathematics?
A function relationship between two or more variables, inputs and outputs, where each and every value input has a uniqueoutput.
Does every rational function have more than one vertical asymp tote?
No.The equation x/(x^2 + 1) does not have a vertical asymptote.
