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anonymous
 4 years ago
does anyone think that there are any other types of functions that have the same rate of change over every interval?
anonymous
 4 years ago
does anyone think that there are any other types of functions that have the same rate of change over every interval?

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TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0you mean two different functions that have the same derivative?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0like how linear equations have the same rate of change everywhere on the graph, are there other graphs that are like that?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0if 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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0does it f(x)=x count as a linear graph?

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.0What about y = e ^ x?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0I 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
 4 years ago
Best ResponseYou've already chosen the best response.0ya 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
 4 years ago
Best ResponseYou've already chosen the best response.0f(x)=x is also considered a linear equation

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0right, but it has a different rate change over x<0 than from x>0 so I excluded it from possibility

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0plus it's rate of change is not defined at zero
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