document.write( "Question 912827: Find the domain and range of the function f(x)=-2x^2-13x+16 \n" ); document.write( "

Algebra.Com's Answer #554088 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Convert to vertex form,
\n" ); document.write( " $\"f%28x%29=-2%28x%5E2%2B%2813%2F2%29x%29%2B16\"$
\n" ); document.write( " $\"f%28x%29=-2%28x%5E2%2B%2813%2F2%29x%2B%2813%2F4%29%5E2%29%2B16%2B2%2813%2F4%29%5E2\"$
\n" ); document.write( " $\"f%28x%29=-2%28x%2B%2813%2F4%29%29%5E2%2B256%2F16%2B338%2F16\"$
\n" ); document.write( " $\"f%28x%29=-2%28x%2B%2813%2F4%29%29%5E2%2B594%2F16\"$
\n" ); document.write( " $\"f%28x%29=-2%28x%2B%2813%2F4%29%29%5E2%2B297%2F8\"$
\n" ); document.write( "Since $\"-2%3C0\"$ , the parabola opens downwards and the value at the vertex is the maximum value.
\n" ); document.write( "Domain : ( $\"-infinity\"$ , $\"infinity\"$ )
\n" ); document.write( "Range : ( $\"-infinity\"$ , $\"297%2F8\"$ ] \n" ); document.write( "

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