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In this last section we have to discuss graphing rational functions. It's is possibly best to begin along a rather simple one that we can do with no all that much knowledge on how these work.
Let's sketch the graph of f ( x ) = 1/x . Firstly, as this is a rational function we will have to be careful with division by zero issues. Thus, we can see from this equation which we'll ought to avoid x = 0 as that will give division by zero.
Now, let's just plug in some of values of x and see what we obtain.
x
f(x)
-4
-0.25
-2
-0.5
-1
-0.1
-10
-0.01
-100
0.01
100
0.1
10
1
2
0.5
4
0.25
Thus, as x get large (positively and negatively) the function keeps the sign of x & gets smaller & smaller. Similarly as we approach x = 0 the function again keeps the similar sign as x however start getting quite large. Following is a sketch of this graph.
Firstly, notice that the graph is into two pieces. Almost all of the rational functions will have graphs in multiple pieces like this.
Next, notice that this graph does not contain any intercepts of any kind. That's simple sufficient to check for ourselves.
2x-y=-1
#can u tell me some things on rigid and non rigid transformations
REENA HAS PENS AND PENCILS WHICH TOGETHER ARE 40 IN NUMBER.IF SHE HAS 5 MORE PENCILS AND 5 LESS PENS,THEN THE NUMBER PENCILS WOULD BECOME 4 TIMES THE NUMBER OF PENS.FIND THE ORIGIN
(-11,-3),(0,-7)
Horizontal Shifts These are quite simple as well though there is one bit where we have to be careful. Given the graph of f ( x ) the graph of g ( x ) = f ( x + c ) will be t
x+y=5 Y+-2x+5
There is interesting relationship among the graph of function and its inverse. Here is the graph of the function & inverse from the first examples. We'll not deal along with the
Determine a quadratic regression function that represents the distance the ball will travel in terms of its speed when it is hit at a 40 degree angle.
14th term 60,68,76,84,92
3x + 5 = 12
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