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To plot y = 2x/3, mark the origin, O, on the Cartesian plane.
Think of any multiple of 3. Call this value a. Calculate 2*a/3 and call this value b. Let P be the point (a, b).
Join OP and extend in both directions.
Incidentally, a need not be a multiple of 3, but the calculations are simpler if it is.
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Is y equals x2 a function?
Y=X^2 is a function for it forms a parabola on a graph.
This is a graph of y equals 2x - 4?
-2
What describes how to translate the graph of y equals x to obtain the graph of y equals x plus 1 - 2?
3
Is there a graph of y equals equals 2 tan 2x?
Yes, that is a shifted tanX graph, just as you would shift any graft.
How do you tell if a graph is a function?
For a 2-dimensional graph if there is any value of x for which there are more than one values of the graph, then it is not a function. Equivalently, any vertical line can intersect the a function at most once.
Is y equals x2 a function?
Y=X^2 is a function for it forms a parabola on a graph.
Suppose you graph y equals 5x - 4 Which function can you graph to increase the y-intercept by 6 but leave the slope unchanged?
y = 5x + 2
What is the area bounded by the graph of the function fx equals 1 - e to the power of -x over the interval -1 2?
What is the area bounded by the graph of the function f(x)=1-e^-x over the interval [-1, 2]?
What will happen if y equals x plus 2 was changed to y equals x-1 what will the graph of the new function compare with the first one?
It would be less steep
How do you graph y equals x2 plus 3 in quadratic form?
You may mean, what is the graph of the function y = x^2 + 3. This graph shows a upward parabola with a y-intercept of 3 and a minimum at x=0.
This is a graph of y equals 2x - 4?
-2
What will be the perpendicular graph to the graph of 4x-2y equals 1?
Any graph with the slope of -1/2
If y equals 5x - 2 were changed to y equals x - 2 how would the graph of the new function compare with the first one?
The graphs of y = 5x - 2 and y = x - 2 will have different slopes but with the same y intercepts.
How can you translate the graph of y equals x to obtain the graph of y equals x-4 plus 2?
y equals x-4 plus 2 is the same as y = x-2. You just translate the graph of y=x, 2 units to the right, OR 2 down.
Can there be a graph of a function be a vertical?
Yes. The graph of [ x = 2 ] is a vertical line.
What is the domain of the composite function GFX equals 2-x?
Given the function g(f(x)) = 2-x, you can find the domain as you would with any other function (i.e. it doesn't matter if it's composite). The output, however, has to be a real number. With this function, the domain is all real numbers. If you graph it, you see that the function is defined across the entire graph, wherever you choose to plot it.
How do you tell if a graph is a function?
For a 2-dimensional graph if there is any value of x for which there are more than one values of the graph, then it is not a function. Equivalently, any vertical line can intersect the a function at most once.
