document.write( "Question 832314: Which best describes the differences between the graphs of f(x)=-5x+3/4 and g(x)=-10x+3/4? Which is steeper and why? and is this question best answered by using a graphing calculator? \n" ); document.write( "

Algebra.Com's Answer #502001 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Not sure you need a graphing calculator but graph paper would be good.
\n" ); document.write( "The greater the slope (the x multiplier), the steeper the curve.
\n" ); document.write( "Pick a point $\"x=0\"$
\n" ); document.write( "Calculate $\"f%28x%29\"$ and $\"g%28x%29\"$ .
\n" ); document.write( " $\"f%280%29=-5%280%29%2B3%2F4=3%2F4\"$
\n" ); document.write( " $\"g%280%29=-10%280%29%2B3%2F4=3%2F4\"$
\n" ); document.write( "Both values equal $\"3%2F4\"$ .
\n" ); document.write( "Now take 1 1 unit step in the x-direction $\"x=1\"$ .
\n" ); document.write( " $\"f%281%29=-5%2B3%2F4\"$
\n" ); document.write( " $\"g%281%29=-10%2B3%2F4\"$
\n" ); document.write( "and look at the differences from when $\"x=0\"$
\n" ); document.write( " $\"f%281%29-f%280%29=-5%2B3%2F4-3%2F4=-5\"$
\n" ); document.write( " $\"g%281%29-g%280%29=-10%2B3%2F4-3%2F4=-10\"$
\n" ); document.write( "So a greater slope will provide a much greater rate of change in the function for an equal step size in x.
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-20%2C20%2C+-5x%2B3%2F4%2C-10x%2B3%2F4%29+\"$
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