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If y 2x plus 1 were changed to y x plus 1 how would the graph of the new function compare with the first one?
It would be less steep.
Given the function Fx you can get a picture of the graph of its inverse F-1y by flipping the original graph of Fx over the line?
y=x
Where the graph of a function equals the value zero?
you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
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.
What happens to the graph when the function is multiplied by a number greater than 1?
When a function is multiplied by a number greater than 1, the graph of the function is vertically stretched. This means that all the y-values of the function are increased, making the graph rise more steeply compared to the original. Consequently, points on the graph move away from the x-axis, resulting in a steeper appearance without changing the x-intercepts.
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.
If y12x - 2 were changed to y12x how would the graph of the new function compare with the original?
If you mean y = 12x -2 and y = 12x then both slopes will be parallel but with the changed function having its slope passing through the origin (0, 0)
How can you graph the inverse of a function without finding the ordered pairs first?
To graph the inverse of a function without finding ordered pairs, you can reflect the original graph across the line ( y = x ). This is because the coordinates of the inverse function are the swapped coordinates of the original function. Thus, for every point ( (a, b) ) on the original graph, the point ( (b, a) ) will be on the graph of its inverse. Ensure that the original function is one-to-one for the inverse to be valid.
If y 12x plus 7 were changed to y 12x plus 2 how would the graph of the new function compare with the original?
It would be shifted down
If y 2x plus 1 were changed to y x plus 1 how would the graph of the new function compare with the first one?
It would be less steep.
Is the first derivative of a function is a constant then its graph is?
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
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 does the graph of an inequality compare to its related function?
The graph is a region of the space on one side or another of the related function. If the inequality is strict then the related function itself is not part of the solution; otherwise it is.
If y 4x plus 3 were changed to y -4x plus 3 how would the graph of the new function compare with the original?
If the equation is changed from ( y = 4x + 3 ) to ( y = -4x + 3 ), the graph will reflect across the y-axis. The original line has a positive slope of 4, indicating it rises steeply as x increases, while the new line has a negative slope of -4, indicating it falls steeply as x increases. Both lines will have the same y-intercept at (0, 3), but their orientations will be opposite.
What are the characteristics of the graph of the reciprocal parent function?
It is a reflection of the original graph in the line y = x.
when you multiply a function by -1 what is the effect on its graph?
Multiplying a function by -1 will make it a reflection of the original function across the x axis.
How do you draw graph for Fourier series?
To draw a graph for a Fourier series, first, calculate the Fourier coefficients by integrating the function over one period. Then, construct the Fourier series by summing the sine and cosine terms using these coefficients. Plot the resulting function over the desired interval, ensuring to include enough terms in the series to capture the function's behavior accurately. Finally, compare the Fourier series graph against the original function to visualize the approximation.
