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anonymous
 one year ago
PLEASE HELP ILL GIVE A MEDAL
Two students in your class, Wilson and Alexis, are disputing a function. Wilson says that for the function, between x = 1 and x = 1, the average rate of change is 0. Alexis says that for the function, between x = 1 and x = 1, the graph goes up through a turning point, and then back down. Explain how Wilson and Alexis can both be correct, using complete sentences.
anonymous
 one year ago
PLEASE HELP ILL GIVE A MEDAL Two students in your class, Wilson and Alexis, are disputing a function. Wilson says that for the function, between x = 1 and x = 1, the average rate of change is 0. Alexis says that for the function, between x = 1 and x = 1, the graph goes up through a turning point, and then back down. Explain how Wilson and Alexis can both be correct, using complete sentences.

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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1The function they are disputing is not mentioned. They can be talking about different functions, and each one of them can be correct as regards to his own function.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Or, if x=0 is the vertex (of a parabola, for example)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, can you really quickly give me an example just so i can understand a little better

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435798222113:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would that be written as a function?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Say, that is a parabola \(y=x^2\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1But that can be many functions... in fact infinite number of such functions.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1I will give you a couple of classes of such functions.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1i need to referesh the page, give me a sec

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, thanks and take your time

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{black}{ \displaystyle y=x^2+{\rm a} }\) OR \(\large\color{black}{ \displaystyle y=x^2{\rm a} }\) (where \(\rm a\) is any real number that is greater than zero) in fact, it can be any function: \(\large\color{black}{ \displaystyle y=x^{\rm w} }\) OR \(\large\color{black}{ \displaystyle y=x^{\rm w}+{\rm a} }\) OR \(\large\color{black}{ \displaystyle y=x^{\rm w} {\rm a}}\) (where \(\rm w\) is some even, positive integer)  BUT absolute value is not (well, shouldn't be) an answer. Average rate of change between x=1 and x=1 is 0, BUT (0,0) is a turning point ((recall the argument in the question)). 

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1oh, my bad a little error

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1all these functions should ahev a in front. \(\large\color{black}{ \displaystyle y=x^{\rm w} }\) \(\large\color{black}{ \displaystyle y=x^{\rm w}+{\rm a} }\) \(\large\color{black}{ \displaystyle y=x^{\rm w}{\rm a} }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435799037236:dw
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