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I think what you are asking is: "If I have a curve on a plane, how do I know if it is a function or not?". For regular Cartesian coordinates, where x is the independent variable and y is the dependent variable, you can use something called the "vertical line test". If you hold up a line parallel to the y-axis it will intersect the curve. Now if you can move it side to side and it never intersects the curve *more than once* then you have a function (of x).
The reason is this: a function is a rule that associates every point in the domain to a single point in the range (also called the codomain). This means that if you are given any point in the domain and evaluate the function at that point you will get one value in the range (this does not need to be a unique value. You can have two different points in the domain taking on the same value in the range; think absolute value or sine curves). So, if we are using the vertical line test and it intersects the curve twice for a single value of x, we know that the curve cannot be a function, since there are two values in the range associated with one value in the domain. On the other hand, if the curve passes the vertical line test i.e. it only intersects the curve once at every point in the domain, then you have a function of x.
You can use an analogous "horizontal line test" to see if something is a function of y.
What else can I help you with?
How can you determine the trend and the graph on alinear fuction?
To determine the trend of linear function graph or equation you would simply look at the slope of the line. This is represented by the m in the equation, f(x) = mx + b.
What is y equals 3x?
I don't understand your question but y=3x is the function of a graph, to graph the function you would plug points into the function such as x=0, x=1, x=-1 and you would find the y values at each point so that you can graph it. In this case the graph is a parabola which has a u shape.
How can you tell by looking at the graph of a function that it is nonlinear?
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
If y12x-2 were changed to y12x how would the graph of the new function compare to the original?
The graph would be translated upwards by 2 units.
How would you graph -2yx 8?
Assume we want to graph -2yx = 8. Divide both sides by -2x, so we have: y = -4/x This equation gives two hyperbolas, one in Quad. II and another in Quad. IV. You can graph the function by substituting each x value for the expression to determine the full coordinates of the points. Finally, plot them on the graph and connect them with a line.
How can you determine the trend and the graph on alinear fuction?
To determine the trend of linear function graph or equation you would simply look at the slope of the line. This is represented by the m in the equation, f(x) = mx + b.
What graph would you use to determine something?
Any graph can be used to determine something!
What is y equals 3x?
I don't understand your question but y=3x is the function of a graph, to graph the function you would plug points into the function such as x=0, x=1, x=-1 and you would find the y values at each point so that you can graph it. In this case the graph is a parabola which has a u shape.
How can you tell by looking at the graph of a function that it is nonlinear?
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
What graph would you use to determine a persons height?
You would not use a graph to determine one person's height at a single point in time. You could use a line graph to track the height of a person over time. You could use a histogram to determine the heights of lots of people at one time.
If y12x-2 were changed to y12x how would the graph of the new function compare to the original?
The graph would be translated upwards by 2 units.
How do you figure out the starting point of a distance vs time graph when given the velocity vs time graph and a function?
To find the starting point of a distance vs time graph from a velocity vs time graph and a function, you would integrate the velocity function to find the displacement function. The starting point of the distance vs time graph corresponds to the initial displacement obtained from the displaced function.
What do you call a function whose graph is a non-vertical line?
It is a function. If the graph contains at least two points on the same vertical line, then it is not a function. This is called the vertical line test.
Which type of graph or chart would be best for showing the relationship between paintball mass and distance traveled?
Line graph. I would suggest a scatter graph. That would allow you to determine the line of best fit.
If you were trying to determine how much you grew over certain period of time what would be the best graph to use?
A line graph is best.
What function would have the point 0 0 on it's graph?
x=0
Describe what the graph would look like of travel by car from school to home?
The answer depends on whether it is a distance-time graph, speed-time graph or something else.
