document.write( "Question 628953: the general form of the constant function is : f(x)=a(x^0), where a is constant.\r
\n" ); document.write( "\n" ); document.write( "So when the function passes by any point on the y-axis, the function will be :f(x)=a(0^0).\r
\n" ); document.write( "\n" ); document.write( "This means there must be a hole in the point of intersection of the y-axis and the constant function on the graph because (0^0) is undefined.\r
\n" ); document.write( "\n" ); document.write( "So why don't we draw the hole on the Cartesian coordinate plane ? \n" ); document.write( "
Algebra.Com's Answer #395919 by stanbon(75887)\"\" \"About 
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the general form of the constant function is : f(x)=a(x^0), where a is constant.
\n" ); document.write( "So when the function passes by any point on the y-axis, the function will be :f(x)=a(0^0).
\n" ); document.write( "This means there must be a hole in the point of intersection of the y-axis and the constant function on the graph because (0^0) is undefined.
\n" ); document.write( "So why don't we draw the hole on the Cartesian coordinate plane ?
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\n" ); document.write( "Any number to the zero power is 1.
\n" ); document.write( "So f(x) = a(x^0) = a
\n" ); document.write( "The y-intercept is (0,a)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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