point
points
i think you are missing the word point in the question, and if so, then yes. the domain of a function describes what you can put into it, and since your putting x values into the function, if there is a point that exists at a certain x value, then that x is included in the domain.
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.
A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).
Absolute Value function
point
points
point
A function must have a value for any given domain. For each edge (or interval), the sign graph has a sign (+ or -) . So, it is a function.
i think you are missing the word point in the question, and if so, then yes. the domain of a function describes what you can put into it, and since your putting x values into the function, if there is a point that exists at a certain x value, then that x is included in the domain.
Assuming the standard x and y axes, the range is the maximum value of y minus minimum value of y; and the domain is the maximum value of x minus minimum value of x.
The definition of a function is "A relation in which exactly one element of the range is paired with each element of the domain." This means that in the relationship of a function, each range element (x value) can only have one domain element (y value). If you draw a vertical line and it crosses your graph twice, then you can see that your x value has two y values, which is not a function.
The graph or function relates a value y (in the vertcal direction) to a value x (in the horizontal direction). For each point x in the domain, there must be one and only one value y. In terms of a graph that means that a vertical line from any value of x in the domain must meet the graph in exactly place - at least once and not more than once. More than one x values can have the same y value associated with them.
Consider the graph of y= +/- sqrt(x). Notice that, for any value of x greater than 0, there are two values of this relation. To be a function a relation has to assign one value in the range to each value in the domain. So this cannot be a function, yet it has a perfectly ordinary graph.
The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.
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.
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.