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Provide an Appropriate Response y=f(x)\mathrm { y } = \mathrm { f } ( \mathrm { x } )

question 8

Essay

Provide an appropriate response.
-A function y=f(x)\mathrm { y } = \mathrm { f } ( \mathrm { x } ) is continuous on [1,1][ - 1,1 ] . It is known to be positive at x=1x = - 1 and negative at x=1x = 1 . What, if anything, does this indicate about the equation f(x)=0f ( x ) = 0 ? Illustrate with a sketch.
 Provide an appropriate response. -A function  \mathrm { y } = \mathrm { f } ( \mathrm { x } )  is continuous on  [ - 1,1 ] . It is known to be positive at  x = - 1  and negative at  x = 1 . What, if anything, does this indicate about the equation  f ( x ) = 0  ? Illustrate with a sketch.


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