x^2 - 2x >= -1
2007-07-15 18:22:02 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
You can draw a line y=-1. If you plot the parabola x^2-2x, it's minimum value is -1 at x=1. Since this is OK, there is no "not allowed" region to the parabola.
2007-07-15 18:30:28 · answer #1 · answered by cattbarf 7 · 0⤊ 0⤋
live caarv74 said:
x^2-2x >= -1
x^2-2x+1 >= 0
(x-1)(x-1) >= 0 <--------------******
ALL real numbers "x" satisfy that condition
to "plot this" ... solution set is "all x"
"plot the entire x-axis" ??? why not since the entire x-axis contains "true" values for the inequality stated.
2007-07-15 18:39:11 · answer #2 · answered by atheistforthebirthofjesus 6 · 0⤊ 0⤋
draw the y = -1 horizontal line after you finish drawing the x^2 - 2x parabola....
shade the area of the parabola and above y = -1.
hope this helps!! :-)
2007-07-15 18:38:20 · answer #3 · answered by Sindhoor 2 · 0⤊ 0⤋
x^2-2x=-1
-> x^2-2x+1=0
-> (x-1)(x-1)=0
x=+1
2007-07-15 18:32:09 · answer #4 · answered by canv74 2 · 0⤊ 0⤋