document.write( "Question 596338: I am having trouble figuring out how to find the domain , range, horizontal asymptote, intercept coordinates and additional points on the graph for the problem and would appreciate any assistance in figuring it out.
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document.write( "F(x)= log2 (x+1) +2 \r
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document.write( "thanks in advance, and appreciate your time. \r
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document.write( "-Shae \n" );
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Algebra.Com's Answer #377709 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! logarithms are not defined for negative arguments, so the domain is all real numbers greater than -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the range is all real numbers\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there is no horizontal asymptote, but there is a vertical asymptote at x = -1 \n" ); document.write( "___as the argument of a logarithm approaches zero, the logarithm approaches negative infinity\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 0 , F(x) = 2 (y-intercept) ___ log2(0+1) + 2 = 0 + 2 = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = -3/4 , F(x) = 0 (x-intercept) ___ log2(-3/4 + 1) + 2 = log2(1/4) + 2 = log2(2^-2) + 2 = -2 + 2 = 0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the graph at two different scales, to show intercepts and shape\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " |