document.write( "Question 469420: Sketch the graph of the function f(x)=(5/2)^x \n" ); document.write( "

Algebra.Com's Answer #322059 by ccs2011(207) $\"\"$ $\"About$

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General exponential function:
\n" ); document.write( " $\"y+=+b%5Ex\"$
\n" ); document.write( "If b > 1, its an increasing function and y>0 for all x
\n" ); document.write( "In this case b = 5/2 , so it is an increasing function.
\n" ); document.write( "To graph this you need 3 things:
\n" ); document.write( "- horizontal asymptote
\n" ); document.write( "- y-intercept
\n" ); document.write( "- Additional Point
\n" ); document.write( "For any graph of the form $\"y=b%5Ex\"$ , y > 0 for all x
\n" ); document.write( "Therefore asymptote is at y=0
\n" ); document.write( "To find y-intercept, set x = 0. Anything to zero power equals 1
\n" ); document.write( "Therefore y-intercept is 1
\n" ); document.write( "For additional point, pick an x-value, i suggest x=1
\n" ); document.write( " $\"y+=+%285%2F2%29%5E1+=+5%2F2\"$
\n" ); document.write( "Ok plot the 2 points, (0,1) and (1,5/2) and draw curved line through the points such that it doesn't cross x-axis.
\n" ); document.write( " $\"graph%28200%2C200%2C-3%2C3%2C-1%2C8%2C2.5%5Ex%29\"$
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