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If two variables are inversely related, then a graph showing their relationship should be shaped like a hyperbola. A hyperbola will start out really high, drop a lot in a short distance, then drop less and less as the graph goes further to the right. It looks similar to an exponential decay function, but less extreme.
Here is an example of what one could look like:
http://www.wolframalpha.com/input/?i=1%2F4x
(In most practical applications, only the right side of the graph would be shown.)
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A straight line on a graph means there is a what relationship?
A direct relationship if the slope of the line is positive. An inverse relationship if the slope of the line is negative.
What shape does the graph of linear relationship take?
It takes the shape of a line.
The shape of a graph of a linear relationship?
It's a cartesian plane.
What does the graph of an inverse variation look like?
A hyperbola.
What is the opposite of an inverse relationship?
The opposite is a direct relationship.
Could you describe the shape of the graph of an inverse relationship as hyperbolic?
no you cant
What is general shape of a graph of an inverse variation relationship?
Cartestian plane
What is the relationship between a logarithmic function and its corresponding graph in terms of the log n graph?
The relationship between a logarithmic function and its graph is that the graph of a logarithmic function is the inverse of an exponential function. This means that the logarithmic function "undoes" the exponential function, and the graph of the logarithmic function reflects this inverse relationship.
How can you know if a graph represents a proportional relationship?
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.
What mathematical relationship between variables is suggested by a graph showing a hyperbola?
Inverse
A straight line on a graph means there is a what relationship?
A direct relationship if the slope of the line is positive. An inverse relationship if the slope of the line is negative.
What is the relationship exhibited on a gravitational force vs distance graph?
On a gravitational force vs distance graph, the relationship exhibited is an inverse square relationship. This means that as the distance between two objects increases, the gravitational force between them decreases proportionally to the square of the distance.
How can you tell if a graph has a direct relationship and an inverse relationship?
If the graph shows a direct relationship, then the line will go up. If it shows an inverse relationship, the line will go down. A direct relationship means that as one variable increases, so does the other. On a graph, this means that as we move out along one axis, we also move out along the other. An inverse relationship means that as one variable increases, the other one decreases. So, for example, as we move to the right (X increasing), we have to move down (Y decreasing).
A graph of a complementary good in economics?
A graph of complimentary goods in economics represents the relationship between the price of of commodity & demand for it's complementary. Thus it shows a inverse relationship.
How would you decide from a graph that the relationship was neither linear nor inverse?
because it is a methodical answer and that is why i am asking you
What shape does the graph of linear relationship take?
It takes the shape of a line.
What mathematical relationship between variables is suggested by a graph showing a half-parabola?
inverse linear or quadratic
