Rational function inequalities (HSC SSCE Mathematics Extension 1): Quizzes

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Rational Function Inequalities
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What defines a rational function?

A function dividing two polynomials

What causes undefined points in rational functions?

Denominator equals zero

Why are critical points important?

All of the above

What is the first step in solving inequalities?

Identify undefined points

What is a vertical asymptote?

A point where the function is undefined

What should be excluded from solutions?

Undefined points

What is a key method for solving inequalities?

Both graphical and algebraic methods

What happens when multiplying by variables?

Direction may change

What is the purpose of sign analysis?

To determine intervals of positivity

What is a common mistake in solving inequalities?

Ignoring critical points

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