Question

Which graph shows the same end behavior as the graph of f(x) = 2x6 - 2x2 - 5?

Answer 1

Step-by-step explanation:

End behavior of a polynomial function is the behavior of the graph of f(x) as x tends towards infinity in the positive or negative sense.

  Given function:

            f(x)  = 2x⁶   -    2x²   -  5

To find the end behavior of a function:

• Find the degree of the function. it is the highest power of the variable.

  Here the highest power is 6

• Find the value of the leading coefficient. It is the number before the variable with the highest power.

   Here it is  +2

We observe that the degree of the function is even

         Also the leading coefficient is positive.

For even degree and positive leading coefficient, the end behavior of a graph is:

x → ∞ , f(x) = +∞

x → -∞ , f(x) = +∞

The graph is similar to the attached image

Learn more:

End behavior brainly.com/question/3097531

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