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3 years ago

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

Mathematics

1 answer:

aleksandrvk [35]3 years ago

6 0

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

#learnwithBrainly

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Answer:

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Step-by-step explanation:

To calculate the angles of the given triangle, we can use the law of cosines:

$\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}$

Then, given the sides a=2, b=9, and c=8.

$\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}$

For B:

$\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}$ $\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}$

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Answer:

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Step-by-step explanation:

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For Figure first

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