document.write( "Question 1020031: Consider the function:
\n" ); document.write( "f(x)=x^2+4
\n" ); document.write( " Will f(x) +4 have real zeros? Justify without any calculations.
\n" ); document.write( " Will f(x) -5 have real zeros? Justify without any calculations.
\n" ); document.write( " Will f(x-2) have real zeros? Justify without any calculations.
\n" ); document.write( " Will f(x+4) have real zeros? Justify without any calculations.
\n" ); document.write( "i can it with calculations but i do not have idea how to do without calculation. I would love any help. \n" ); document.write( "

Algebra.Com's Answer #636054 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Consider the function  f(x)=x^2+4\r\n" );
document.write( "1. Will f(x) +4 have real zeros? Justify without any calculations. - No.  is just non-negative, and  has the minimum in 4 units over the zero.\r\n" );
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document.write( "2. Will f(x) -5 have real zeros? Justify without any calculations. - Yes. Its minimum is negative.\r\n" );
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document.write( "3. Will f(x-2) have real zeros? Justify without any calculations. - No. The same reason as in n.1.  Notice that f(x-2) = .\r\n" );
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document.write( "4. Will f(x+4) have real zeros? Justify without any calculations. - No. The same reason as in n.1.  Notice that f(x+4) = .\r\n" );
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