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.
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.
A horizontal line goes from left to right and looks like this. Also, all horizontal lines are parallel to each other. ______________________________________________________________________ ______________________________________________________________________
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.
The way to remember it is horizontal is like the horizon, so flat like this: ___________________________________________________________ That was a horizontal line. Vertical is the other way (so up and down): | | | | | | | That was a vertical line.