Please help me work out and graph y = 2x + 1/x -1
Assume 3 values of x which is less than 1 and 3 values greater than 1 then solve for y by substituting the assumed values to the equation.
x = 0 x = -1 x = -3
2x + 1 2x + 1 2x + 1
__________ _________ _________
x - 1 x - 1 x - 1
2(0) + 1 2(-1) + 1 2(-3) + 1
__________ __________ __________
0 - 1 -2 -1 -4 - 1
1 -1 -5
___ or -1 _____ or 1/3 ____ or 1
-1 -3 -5
x = 2 x = 4 x = 6
2x + 1 2x + 1 2x + 1
__________ _________ _________
x - 1 x - 1 x - 1
2(2) + 1 2(4) + 1 2(6) + 1
__________ __________ __________
2 - 1 4 -1 6 - 1
5 9 13
___ or 5 _____ or 3 ____
1 3 5
Then plot the points. we have six points.
The graph looks like this :
Notice that the graph did not pass x = 1