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What would you use to determine whether or not a graph is a function?
Wiki User
∙ 6y ago
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.
Wiki User
∙ 6y ago
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How can you determine the trend and the graph on alinear fuction?
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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.
To determine the domain of f observe the x coordinates on the graph of the function the domain of f is the set of inputs that occur on the function?
The "x values that work are the domain numbers like for y=x+1 would be any real number. But, y= sqrx x would have to be non-negative.
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 would one determine Acceleration from a V-t Graph?
The slope of graph of V->t gives the acceleration
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.
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 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.
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.
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?
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To determine the domain of f observe the x coordinates on the graph of the function the domain of f is the set of inputs that occur on the function?
The "x values that work are the domain numbers like for y=x+1 would be any real number. But, y= sqrx x would have to be non-negative.
