Absolute value functions (HSC SSCE Mathematics Extension 1): Quizzes

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Absolute Value Functions
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What does the absolute value function ensure?

All outputs are non-negative

What is the absolute value of -5?

5

What is the value of |f(x)| when f(x) < 0?

-f(x)

How is y = |x - 3| defined for x < 3?

-x + 3

What is the graph of y = |x|?

A V-shape

What is a critical point in absolute value functions?

Where f(x) changes sign

What does y = |x^2 - 2x + 1| show?

Only positive values

What is the effect of absolute value on graphs?

Flips negative parts

Why are absolute value functions important?

For minimizing errors

What is the vertex of y = |2x + 1|?

(-1/2, 0)

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