Limits at Infinity and End Behavior Quiz

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Which of the following describes the behavior of a function as x approaches positive infinity?

The function approaches negative infinity

The function oscillates

The function approaches a specific number

The function approaches positive infinity (correct)

Which of the following describes the behavior of a function as x approaches negative infinity?

The function approaches positive infinity (correct)

The function oscillates

The function approaches negative infinity

The function approaches a specific number

What is the term used to describe the behavior of a function as x increases without bound?

Vertical asymptote

End behavior (correct)

Oscillation

Horizontal asymptote

What is the term used to describe the behavior of a function as x decreases without bound?

End behavior Signup and view all the answers

If a function approaches a specific number L as x increases without bound, what is the equation of the horizontal asymptote?

y = L Signup and view all the answers

Which of the following is a property of exponents?

Exponents can be any real number Signup and view all the answers

What is the value of b^0, where b is a nonzero real number?

1 Signup and view all the answers

Which of the following is a correct expression for b^(p/q), where p/q is a positive rational number expressed in lowest terms?

b^(1/q) * b^p Signup and view all the answers

What assumption is made throughout this section regarding the value of b?

b is positive Signup and view all the answers

Which of the following is a method for defining irrational powers of b?

Using successive approximation Signup and view all the answers

Limits at Infinity and End Behavior Quiz

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Questions and Answers

Which of the following describes the behavior of a function as x approaches positive infinity?

Which of the following describes the behavior of a function as x approaches negative infinity?

What is the term used to describe the behavior of a function as x increases without bound?

What is the term used to describe the behavior of a function as x decreases without bound?

If a function approaches a specific number L as x increases without bound, what is the equation of the horizontal asymptote?

Which of the following is a property of exponents?

What is the value of b^0, where b is a nonzero real number?

Which of the following is a correct expression for b^(p/q), where p/q is a positive rational number expressed in lowest terms?

What assumption is made throughout this section regarding the value of b?

Which of the following is a method for defining irrational powers of b?

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