Range of values for X for which x - 2x^2 > -6

richiesmasher

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Dec 15, 2017
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There is a function y= 3+x-2x2

X values are as follows: -3, -2, -1, 0, 1, 2, 3.
Y values are as follows:-18, -7, 0, 3, 2,-3,-12.

Each x value corresponds to the y value below it after going through the function.

I have plotted a graph using a scale of 1 cm on the Y axis and a scale of 2 cm on the X axis, I have obtained a Parabola opening downwards.

Now the Question says, '' Using your graph or otherwise, determine the range of values of x for which x -2x2>-6.

Now, I guess I can do this by substituing every x value into that inequality... but is there a faster way to do this?

Also how can I look at my graph and know this?
 
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