anonymous
  • anonymous
does anyone think that there are any other types of functions that have the same rate of change over every interval?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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TuringTest
  • TuringTest
you mean two different functions that have the same derivative?
anonymous
  • anonymous
like how linear equations have the same rate of change everywhere on the graph, are there other graphs that are like that?
TuringTest
  • TuringTest
if the graph is curvy then it does not have a constant rate of change in cartesian coordinates, so yes it must be a straight line

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anonymous
  • anonymous
does it f(x)=|x| count as a linear graph?
Directrix
  • Directrix
What about y = e ^ x?
TuringTest
  • TuringTest
I was interpreting 'a constant rate change' here to mean that the graph has a constant first derivative everywhere. f(x)=|x| does not have f'(0) defined, and y=e^x has a variable first derivative. I think the problem is a bit vague though.
anonymous
  • anonymous
ya i just said that i didnt because in order to have the same average rate of change over every interval you need a straight line and by definition that is unique to linear equation
anonymous
  • anonymous
f(x)=|x| is also considered a linear equation
TuringTest
  • TuringTest
right, but it has a different rate change over x<0 than from x>0 so I excluded it from possibility
TuringTest
  • TuringTest
plus it's rate of change is not defined at zero

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