SOLUTION: 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 calculat

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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?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Not sure you need a graphing calculator but graph paper would be good.
The greater the slope (the x multiplier), the steeper the curve.
Pick a point
Calculate and .


Both values equal .
Now take 1 1 unit step in the x-direction .


and look at the differences from when


So a greater slope will provide a much greater rate of change in the function for an equal step size in x.


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