How is the ratio of outputs to inputs, y x, different from the slope ratio? When a...

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Advance Math

  1. How is the ratio of outputs to inputs, y x, different from theslope ratio?
  2. When a linear graph passes through the origin, why is the ratioof outputs to inputs, y x the same as the slope?
  3. How can you tell from a graph whether a relationship is inversevariation or direct variation? Does this change when we look atdirect square variation versus inverse square variation? Why or whynot?
  4. What is a horizontal asymptote? Do direct or inverse variationgraphs have asymptotes? Why?
  5. Explain how to tell whether a table varies directly, inversely,or neither. Include what to watch for to determine if a functionvaries directly or inversely with the square.

Answer & Explanation Solved by verified expert
3.7 Ratings (328 Votes)
1 The slope is ratio of the change in y and the changein x that is the slope is but the ratio of outputs is Now depending on the function this ratio might not always beequal to the slope For example take the function Then the slope of the function is 15 while the ratio of    See Answer
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