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How many real values of satisfy the equations and simultaneously?
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1 solution
Moderator note:
Good visual approach.
We will simply sketch the graphs of the given functions and will calculate the number of intersections of the two graphs.
Drawing the graphs of the given functions, we get:
Hence we can clearly see through the above graph that the two graphs intersect at four points. Hence four real values of x satisfy both the equations ∣ y ∣ = sin x and y = x 2 + 3 x − 1 0 simultaneously.