document.write( "Question 440157: Find the domain and the range of the given function.
\n" ); document.write( "f(x) = -x^2 + 6x
\n" ); document.write( " A. domain: {x|x≤ -3}; range: {y|y ≤ 9}
\n" ); document.write( "B. domain: all real numbers; range: {y|y ≤ 9}
\n" ); document.write( "C. domain: {x|x ≤ 3}; range: {y|y ≤ 9}
\n" ); document.write( "D. domain: all real numbers;range: {y|y ≤ -9}
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Algebra.Com's Answer #304142 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi\r
\n" ); document.write( "\n" ); document.write( "Using the vertex form of a parabola, \"y=a%28x-h%29%5E2+%2Bk\" where(h,k) is the vertex
\n" ); document.write( "f(x) = -x^2 + 6x |Completing Square to find the Vertex
\n" ); document.write( "y = -[(x-3)^2 - 9]
\n" ); document.write( "y = -(x-3)^2 + 9 |represents parabola opening downward, a<0
\n" ); document.write( "vertex Pt(3,9) f(3) = 9 is a maximum point
\n" ); document.write( "Domain: and Range: {y|y ≤ 9}
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