Invariants are points that remain the same under certain transformations.
You could plug the points into your transformation and note that what does in is the same as what comes out.
The details depend on the transformation.
Invariants are points that remain the same under certain transformations.
You could plug the points into your transformation and note that what does in is the same as what comes out.
The details depend on the transformation.
To graph points, use rise over run and go up and over on the graph
It is a graph of isolated points - nothing more, nothing less!
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It is Discrete Graph .
When the data on the graph is continuous,it does make sense to connect the points on the graph of 2 related variables.
a point on a graph where if the graph is transformed the point stays the same.
the invarient point is the points of the graph that is unaltered by the transformation. If point (5,0) stays as (5,0) after a transformation than it is a invariant point The above just defines an invariant point... Here's a method for finding them: If the transformation M is represented by a square matrix with n rows and n columns, write the equation; Mx=x Where M is your transformation, and x is a matrix of order nx1 (n rows, 1 column) that consists of unknowns (could be a, b, c, d,.. ). Then just multiply out and you'll get n simultaneous equations, whichever values of a, b, c, d,... satisfy these are the invariant points of the transformation
Plug the x-values into the original equation. If you get the same y-values, then the points are valid.
A graph is a function if every input (x-value) corresponds to only one output (y-value). One way to check for this is to perform the vertical line test: if a vertical line intersects the graph at more than one point, the graph is not a function.
There are seven steps which are: 1. Identify the variables 2. Determine the variable range 3. Determine the scale of the graph 4. Number and label each axis 5. Plot the data points 6. Draw the graph 7. Title the graph
The y-intercept is the point on the graph which touches the y-axis (there can be multiple points).Algebraically, it would be at coordinates ( 0, f(0) ).The y intercept is where the line crosses the y axis
If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.
Rise divided by run. (Y2 - Y1) / (X2 - X1) - with (X1, Y1) and (X2, Y2) being two points on the graph.
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.
To graph points, use rise over run and go up and over on the graph
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