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Why does the graph of a function never has two different points with the same x-coordinate?
Wiki User
∙ 12y ago
That is simply a result of the definition of a function. A function is a mapping such that for each value of x there is only one value of y.
Wiki User
∙ 12y ago
Wiki User
∙ 6y agoAssuming that "x" is the independent variable, and "y" is the dependent variable: That's because a function is DEFINED as having (in this case) only ONE y-value for every x-value.
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A value is in the domain of a function if there is a what on the graph of the function at that x-value?
points
How can you tell if a graph sHow is a function?
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
The points on a line graph not always connected because?
The function is not continuous.
If the parents function is y4x which is the function of the graph?
The function y = x is the graph that passes from the points (-1, -1), (0, 0), and (1, 1) The function y = 4x is the graph that passes form the points (-1, -4), (0, 0), and (1, 4) Sketch these graphs in a same x and y coordinate system, and you can see both of them
Why do we set the denominator to zero to graph a rational function?
We set the denominator to zero to find the singularities: points where the graph is undefined.
How do you graph trigonometric functions?
You find the average rate of change of the function. That gives you the derivative on different points of the graph.
A value is in the domain of a function if there is a what on the graph of the function at that x-value?
points
How can you tell if a graph sHow is a function?
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
How can you tell if a function is a function?
The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.
How do you determinate whether a graph of a mathematical relationship is a function?
If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.
How do you determine whether a graph of a mathematical relationship is a function?
If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.
Is it possible to have different quadratic equations with the same solution Why?
Yes it is possible. The solutions for a quadratic equation are the points where the function's graph touch the x-axis. There could be 2 places to that even if the graph looks different.
How do you determine weather the graph represent a function?
The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.
What points lies on the graph of the function y equals 4x?
Since there are no "following" points, none of them.
The points on a line graph not always connected because?
The function is not continuous.
When the points on a graph tend to go downward from left to right you say they indicate what?
They mean the graph/function is decreasing.
What is a polynomial function as a graph?
A polynomial function have a polynomial graph. ... That's not very helpful is it, but the most common formal definition of a function is that it is its graph. So, I can only describe it. A polynomial graph consists of "bumps", formally called local maxima and minima, and "inflection points", where concavity changes. What's more? They numbers and shape varies a lot for different polynomials. Usually, the poly with higher power will have more "bumps" and inflection points, but it is not a absolute trend. The best way to analyze the graph of a polynomial is through Calculus.
