document.write( "Question 706046: please help me find the x and y intercepts and the range of the following: f(x)=x^2-6x+4 \n" ); document.write( "
Algebra.Com's Answer #434946 by stanbon(75887)\"\" \"About 
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find the x and y intercepts and the range of the following:
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\n" ); document.write( "f(x)=x^2-6x+4
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\n" ); document.write( "y-int:
\n" ); document.write( "Let x = 0, then y = 4
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\n" ); document.write( "x-int:
\n" ); document.write( "Let y = 0,
\n" ); document.write( "x = [6 +- sqrt(36-4*1*4)]/2
\n" ); document.write( "x = [6 +- sqrt(20)]/2
\n" ); document.write( "x = [6 +- 2sqrt(5)]/2
\n" ); document.write( "x = [3+-sqrt(5)]
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\n" ); document.write( "To find the range, find the vertex:
\n" ); document.write( "vertex occurs at x = -b/(2a) = 6/2 = 3
\n" ); document.write( "f(3) = 3^2-6*3+4 = 9-18+4 = -5
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\n" ); document.write( "So, you have a parabola opening upward from the
\n" ); document.write( "point (3,-5)
\n" ); document.write( "Range = All Real Numbers >= -5
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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