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 Describe the x-values at which the graph of the function f(x)=x2x29 given below \text { Describe the } x \text {-values at which the graph of the function } f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } - 9 } \text { given below }

Question 39

Multiple Choice

 Describe the x-values at which the graph of the function f(x) =x2x29 given below \text { Describe the } x \text {-values at which the graph of the function } f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } - 9 } \text { given below } \text { Describe the } x \text {-values at which the graph of the function } f ( x )  = \frac { x ^ { 2 } } { x ^ { 2 } - 9 } \text { given below }     is differentiable. A)   f ( x )   is differentiable at  x = \pm 3 . B)   f ( x )   is differentiable everywhere except at  x = \pm 3 . C)   f ( x )   is differentiable everywhere except at  x = 0 . D)   f ( x )   is differentiable on the interval  ( - 2,2 )  . E)   f ( x )   is differentiable on the interval  ( 2 , \infty )  .
is differentiable.


A) f(x) f ( x ) is differentiable at x=±3x = \pm 3 .
B) f(x) f ( x ) is differentiable everywhere except at x=±3x = \pm 3 .
C) f(x) f ( x ) is differentiable everywhere except at x=0x = 0 .
D) f(x) f ( x ) is differentiable on the interval (2,2) ( - 2,2 ) .
E) f(x) f ( x ) is differentiable on the interval (2,) ( 2 , \infty ) .

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