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The Graph Of f(x)=3x2+1f ( x ) = 3 x ^ { 2 } + 1

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The graph of f(x)=3x2+1f ( x ) = 3 x ^ { 2 } + 1 is shown below. Explain why the quadratic inequality 3x2+1<03 x ^ { 2 } + 1 < 0 has no solution.  The graph of  f ( x ) = 3 x ^ { 2 } + 1  is shown below. Explain why the quadratic inequality  3 x ^ { 2 } + 1 < 0  has no solution.

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