Which graph shows the end behavior of the graph of f(x) = 2x^6 – 2x^2 – 5?

Refer the attached graph below.

Step-by-step explanation:

Given : Function

To find : Which graph shows the end behavior of the graph of the given function?

Solution :

We have given the function

To find the end behavior of the graph,

We need to find the degree of the given function and the leading coefficient.

Degree of the given function is the highest power of the variable.

Highest power of x is 6.

Degree = 6 ( an even degree)

Leading coefficient is the coefficient of highest power term.

We have highest power term is .

So, the leading coefficient is 2 (Positive number)

For even degree and positive leading coefficient, end behavior is

Refer the attached figure below.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: