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| Math Central | Quandaries & Queries |
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Question from anamika, a student: number of solutions of sinx = x^2 + x +1 |
Hi Anamika,
I would first sketch $y = \sin x.$
Now consider $y = x^2 + x + 1.$ The function is a quadratic so the graph is a parabola which either opens upwards or downwards. Which is it?
Plot a few points on the graph of $y = x^2 + x + 1,$ for example $x = 0, x = 1 \mbox{ and } x = -1.$ Sketch the graph of $y = x^2 + x + 1.$ How many points lie on both graphs?
Penny
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