You cannot since the transformation is not a horizontal shift.
Piece wise functions can do everything. Take two pieces of two rational functions, one have a horizontal asymptote as x goes to -infinity and the other have a slanted (oblique) one as x goes to +infinity. It is still a rational function.
Yes it is. the two numbers will always have the same proportion to each other.
Yes, but x would be a function of y, not the other (usual) way round. The domain of the function would be y in (-infinity, +infinity) and the range x in [0, +infinity).
other horizontal lines? which would be 180 degrees i guess.
Well, if you solve the equation for "y", you have "y" as a function of "x". Or you can do it the other way round; solve for "x", to get "x" as a function of "y" (the first option is more commonly used, though).
Piece wise functions can do everything. Take two pieces of two rational functions, one have a horizontal asymptote as x goes to -infinity and the other have a slanted (oblique) one as x goes to +infinity. It is still a rational function.
Yes it is. the two numbers will always have the same proportion to each other.
Yes, but x would be a function of y, not the other (usual) way round. The domain of the function would be y in (-infinity, +infinity) and the range x in [0, +infinity).
If Y equals 2X - 2X - 24, then there is one root, and it is -24. The two 2X's cancel each other out.
other horizontal lines? which would be 180 degrees i guess.
Well, if you solve the equation for "y", you have "y" as a function of "x". Or you can do it the other way round; solve for "x", to get "x" as a function of "y" (the first option is more commonly used, though).
No, horizontal lines are parallel to each other and parallel lines never intersect.
A horizontal line goes from left to right and looks like this. Also, all horizontal lines are parallel to each other. ______________________________________________________________________ ______________________________________________________________________
Yes, y=x^2 is a non-linear function. In fact it is a parabola. Graphing one is quite easy using a table of values or other methods.
Just like the sine function displaced by pi/2. In other words the cosine equals 1 at 0 degrees, 0 at 90 degrees, -1 at 180 and so on.
Yes... More or less. The axes can be called anything; traditionally, the horizontal axis is often called "x", the vertical axis is often called "y", and the vertical component is assumed to be the dependent part ("y" is a function of "x"). However, other combinations are also possible; for example, if there is time involved in the graph, the horizontal axis will usually be the time.
No.