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How can you know if a graph represents a proportional relationship?
Wiki User
β 9y ago
It is a relationship of direct proportion if and only if the graph is a straight line which passes through the origin.
It is an inverse proportional relationship if the graph is a rectangular hyperbola. A typical example of an inverse proportions is the relationship between speed and the time taken for a journey.
Wiki User
β 9y ago
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How do you know the relationship between x and y is proportional?
The answer depends on how the information is presented. If in the form of a graph, it must be a straight line through the origin. If in the form of an equation, it must be of the form y = cx.
How do you know if a graph is a function?
A graph is a function if there is no more than one y-value for any x value. This means no vertical lines or "C" shapes, etc
How you would find the domain and range of a function when given its graph?
To find the Domain and range when given a graph is to take the x-endpoints and to y-endpoint. You know that Domain is your input and range your output. so to find the function when given the graph you simply look at your plot points and use yout domain and range. like so: Say these where your plot points (0,4) and (9,6) You know your domain is {0,9} and it would be written like so: 0<x<9 then noticing your range is {4,6} and it would be written like so: 4<y<6
Use the concept of a limit to explain how you could find the exact value for the definite integral value for a section of your graph?
The definite integral value for a section of a graph is the area under the graph. To compute the area, one method is to add up the areas of the rectangles that can fit under the graph. By making the rectangles arbitrarily narrow, creating many of them, you can better and better approximate the area under the graph. The limit of this process is the summation of the areas (height times width, which is delta x) as delta x approaches zero. The deriviative of a function is the slope of the function. If you were to know the slope of a function at any point, you could calculate the value of the function at any arbitrary point by adding up the delta y's between two x's, again, as the limit of delta x approaches zero, and by knowing a starting value for x and y. Conversely, if you know the antideriviative of a function, the you know a function for which its deriviative is the first function, the function in question. This is exactly how integration works. You calculate the integral, or antideriviative, of a function. That, in itself, is called an indefinite integral, because you don't know the starting value, which is why there is always a +C term. To make it into a definite integral, you evaluate it at both x endpoints of the region, and subtract the first from the second. In this process, the +C's cancel out. The integral already contains an implicit dx, or delta x as delta x approaches zero, so this becomes the area under the graph.
What is a limit in calculus?
Before you start with limits, you should know that they are quite similar to finding the instantaneous rate of change. The limit of any given point (a) on the graph of a function would be the value the graph converges to at that point. The limit, in other words, is the slope of the tangent at a certain point on the graph. For example, take the graph of y = x [Which is the same as f(x) = x] Now, when you graph that function you get a perfectly diagonal line. You can just start at the point (0,0) on the graph and then for each point, go up 1, right 1. Do the same for the left part of the graph, going down 1 and left 1. Now that you got the graph, take ANY value of x. Say you take 5. Now what point is your FUNCTION approaching from EACH side. So its clear that your function is approaching a value of 5 on the y-axis when x=5, from each side i.e. the graph approaches 5 on the y-axis from the left and the right when x =5. Remember that for a limit to exist, the graph should always approach a certain point from BOTH directions, left and right. Consider the graph of y=x2. At x =5, y = 25. Now since the graph approaches the point 25, when x = 5 from both left and right sides, the limit as the graph approaches x=5 is 25!! Remember that it does NOT matter if the graph is defined at the point at which you are finding if the limit exists, what only matters is if the graph is approaching the point from both sides. So to say, you can have a hole at (5,25) and still have the limit as 25. Now there's a specific way of writing limits. Have a look at this image: http://upload.wikimedia.org/math/e/8/7/e879d1b2b7a9e19d16438c24fb8a7990.png Okay, I'll describe what the image states. All its saying is that as x approaches point 'p' on the function f(x), the limit is L. So, to say for the example I just did above, you have have '5' instead of 'p', and 'L' would be replaced by '25'. Now, say the limit at x=2, for the function f(x) is 10, but you actually have a hole at the point (2,10). And you have a DEFINED point at (2,12). IF your graph is still approaching the hole at (2,10) from both sides, then your limit will still exist. Moving on, suppose a point is x = 3 on a certain graph. So, in 'calculus terms', when the graph is approaching 3 from the left side it would be written like 3- while approaching from the right would be 3+.
Does the graph represent a proportional or non-proportional liner relationship How do you know?
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
How do you know if a graph is proportional?
It is a graph of a proportional relationship if it is either: a straight lie through the origin, ora rectangular hyperbola.
How do we know when an equation represents a proportional relationship?
If it passes through the origin
How do you know when a graph is proportional?
It makes a line ,it goes through the origin, it has a constant
3-6 proportional and non-proportional relationships?
9
How do you know the relationship between x and y is proportional?
The answer depends on how the information is presented. If in the form of a graph, it must be a straight line through the origin. If in the form of an equation, it must be of the form y = cx.
The graph shows the relationship between Lori's paycheck and the numbers of hours she works which statement is not supported by the information in the graph?
We'll let you know after we see the graph. Or the statements.
How do you figure figure how do you know if it is a proportinal relationship?
Suppose the two variables are X and Y. If, for any observation, X/Y remains the same, the relationship is proportional.
How do you make a force time graph from acceleration time graph?
You might assume that acceleration is proportional to force - specifically, using Newton's Second Law. However, you would need to know the mass on which the force acts - otherwise, you simply don't have enough information.
If x equals 1 3 when y equals 162 ο¬nd x when y equals 3?
You need to know what is the relationship between x and y. Are they proportional? Inversely proportional? Several other options also exist.
What are some examples of a proportional relationship?
some people being ugly and weird just kidding I'm only a third grader how should I know
What statement best represents the relationship between heredity environment and cancer?
Please rewrite. We don't know the statement.
