What is the end behavior of the function $$f(x) = x^3$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow - ext{∞} $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow + ext{∞}@@.

What is the end behavior of the function $$f(x) = -x^2$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow - ext{∞} $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow - ext{∞}@@.

What is the end behavior of the function $$f(x) = x^4 - 3x^2 + 2$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow + ext{∞} $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow + ext{∞}@@.

What is the end behavior of the function $$f(x) = -2x^5 + 4x^3$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow + ext{∞} $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow - ext{∞}@@.

What is the end behavior of the function $$f(x) = e^x$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow 0 $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow + ext{∞}@@.

What is the end behavior of the function $$f(x) = \frac{1}{x}$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow 0 $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow 0@@.

What is the end behavior of the function $$f(x) = \frac{x^2 - 1}{x^2 + 1}$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow 1 $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow 1@@.

What is the end behavior of the function $$f(x) = x^7 - 2x^5 + 3$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow - ext{∞} $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow + ext{∞}@@.

What is the end behavior of the function $$f(x) = -x^6 + 4x^3$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow - ext{∞} $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow - ext{∞}@@.

What is the end behavior of the function $$f(x) = 3x^4 - 5x + 1$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow + ext{∞} $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow + ext{∞}@@.

What is the end behavior of the function $$f(x) = -\frac{1}{x^2}$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow 0 $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow 0@@.

What is the end behavior of the function $$f(x) = x^8 - 3x^4 + 2$$ ?

As @@x ightarrow - ext{∞}, f(x) ightarrow + ext{∞} $$ and as $$ x ightarrow + ext{∞}, f(x) ightarrow + ext{∞}@@.

End Behavior Review Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is end behavior in the context of functions?

Back

End behavior describes the behavior of a function as the input values (x) approach positive or negative infinity.

2.

FLASHCARD QUESTION

Front

How do you determine the end behavior of a polynomial function?

Back

To determine the end behavior of a polynomial function, look at the leading term (the term with the highest degree) and its coefficient.

3.

FLASHCARD QUESTION

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Back

4.

FLASHCARD QUESTION

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Back

5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

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