Reciprocal functions (HSC SSCE Mathematics Extension 1): Quizzes

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Reciprocal Functions
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What is the definition of a reciprocal function?

y = 1/f(x)

Where do vertical asymptotes occur?

Where f(x) = 0

What happens as f(x) approaches infinity?

1/f(x) goes to 0

What is a horizontal asymptote?

y = 0

How do you graph y = 1/f(x)?

Reflect across x-axis

Where do intersections occur?

Where |f(x)| = 1

What is the behavior of reciprocal graphs?

Symmetrical around axes

What is essential for graphing reciprocal functions?

Understanding asymptotic behavior

What tool can help visualize complex graphs?

Graphing calculator

What is the key feature of reciprocal functions?

They have vertical asymptotes

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