The graphs of the polynomial x 2-1 and cos x intersectA- at exactly 3 pointsB- at least 4 but at finitely many pointsC- at exactly two pointsD- at infinitely many points

The correct option is C at exactly two pointsThe graph of y = x^2 1 and nbsp;y = cos x as shown below They intersect at exactly two points. ...

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Greatest Integer Function

The graphs of...

Question

The graphs of the polynomial $x^{2} - 1$ and $cos x$ intersect

at exactly two points

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at exactly

3

points

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at least

4

but at finitely many points

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at infinitely many points

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Solution

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f (x) = \frac{tan (π [x - π])}{1 + [x]^{2}}

[.]

f (x) = \frac{4 - x^{2}}{4 x - x^{3}}

e^{x} - x - 1 = 0

C_{1} : y^{2} = 4 x, C_{2} : x^{2} + y^{2} - 6 x + 1 = 0.

f (x) = ⎧ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎩ \begin{matrix} x^{2} + 2, & x < 0 - 2 e^{- x}, & 0 \leq x < 2, \frac{- 2}{e^{2}} (x - 3), & x \geq 2 \end{matrix}

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