Which statement is true about the end behavior of the graphed function?

As the x-values go to positive infinity, the function's values go to negative infinity.
As the x-values go to zero, the function's values go to positive infinity.
As the x-values go to negative infinity, the function's values are equal to zero.
As the x-values go to negative infinity, the function's values go to positive infinity.

Which statement is true about the end behavior of the graphed function As the xvalues go to positive infinity the functions values go to negative infinity As th class=

Respuesta :

Answer D is TRUE because on the graph if you were to keep going left even after the picture of the graph ends, the graph will still keep going up infinitely.
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The correct statement about the end behavior of the graph is "as the x-values go to negative infinity, the function's values go to positive infinity". Option D is correct.

The graph given in the question represents a function. The following conclusions can be observed from the graph:

  • The value of the function is 0 at x=0.
  • The function has a minimum value at x=2.4.
  • As the value of x reaches negative infinity, the function tends to positive infinity because it is open upwards.
  • As the value of x reaches positive infinity, the function tends to positive infinity because it is open upwards.

From the above conclusions, it can be said that "as the x-values go to negative infinity, the function's values go to positive infinity".

Therefore, option D is correct.

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