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In the inverse variation function, what happens to the output when the function's input value is divided by 5?

The output is multiplied by 5.


In the inverse variation function what happens to the output when the function's input is halved?

The output is doubled.


Limits in calculus?

A limit in calculus is a value which a function, f(x), approaches at particular value of x. They can be used to find asymptotes, or boundaries, of a function or to find where a graph is going in ambiguous areas such as asymptotes, discontinuities, or at infinity. There are many different ways to find a limit, all depending on the particular function. If the function exists and is continuous at the value of x, then the corresponding y value, or f (x), is the limit at that value of x. However, if the function does not exist at that value of x, as happens in some trigonometric and rational functions, a number of calculus "tricks" can be applied: such as L'Hopital's Rule or cancelling out a common factor.


What is the domain and range for the function 3sin2x?

Well, let's take a moment to appreciate the beauty of this function. The domain for 3sin(2x) is all real numbers, as there are no restrictions on the values of x that can be plugged in. As for the range, it will be from -3 to 3, since the sine function oscillates between -1 and 1, and multiplying by 3 stretches these values. Remember, there are no mistakes in math, just happy little accidents!


When an odd function has a negative leading coefficient what happens to the graph?

the left end of the graph is going in a positive direction and the right end is going in a negative direction.

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