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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.
What else can I help you with?
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.
What is A number that makes a equation true?
The solution set is the answers that make an equation true. So I would call it the solution.
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.
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.
Is the graph of a circle a function?
Yes, the graph of a circle is a function. Recall, in a circle, that x2 + y2 = r2, for circles at the origin, though you could offset it any place you want by making the equation more complex. Solving for y, you get y = square root(r2 - x2). Since square root, by definition, has two values, the plus value and the minus value, this is a function, even though each x has two values for y, within the domain of +/-R.Some people might say that the graph of a circle is not a function, because it violates the single value test, i.e. if you draw a vertical line within the domain of the function, you get more than one value. In fact, however, if you convert the equation from cartesian coordinates to polar coordinates, you pass the single value test, i.e. R is constant for every theta.
