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Choose the correct classification for the graph. Select each correct answer.

A cubic function graphed on a coordinate plane. The horizontal x-axis ranges from negative 10 to 10 in increments of 2. The vertical y-axis ranges from negative 10 to 10 in increments of 2. An s-shaped curve with turning point at the origin is graphed. Moving from left to right, the graph increases through the third quadrant, turns left and passes through begin ordered pair negative 1 comma 0 end ordered pair. The graph then passes through begin ordered pair negative 0.577 comma 0.385 end ordered pair and through origin. The graph then turns right and passes through begin ordered pair 0.577 comma negative 0.385 end ordered pair, begin ordered pair 1 comma 0 end ordered pair and exits the first quadrant.

Options:

Odd function

Even function

Both even and odd function

Neither even and odd function

Thank you so much! This is the question I'm stuck on.

Guest Mar 31, 2018

Best Answer 

 #1
avatar+7096 
+2

This function looks odd because  f(-x)  =  -f(x)  for all  x's .

 

For instance...  f(2)  =  6    and   f(-2)  =  -6

 

It is the same way for all  x  values so the function is odd.

hectictar  Mar 31, 2018
 #1
avatar+7096 
+2
Best Answer

This function looks odd because  f(-x)  =  -f(x)  for all  x's .

 

For instance...  f(2)  =  6    and   f(-2)  =  -6

 

It is the same way for all  x  values so the function is odd.

hectictar  Mar 31, 2018

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