Introduction to Absolute Value Functions (HSC SSCE Mathematics Advanced): Quizzes

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Introduction to Absolute Value Functions
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10 questions from this quiz

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What does absolute value represent?

Distance of a number from zero

What is ∣−5∣|-5|?

55

What is the range of f(x)=∣x∣f(x) = |x|?

[0,∞)[0, \infty)

Using the piecewise definition, if x=−7x = -7, which rule applies for ∣x∣|x|?

−x-x (since x<0x < 0)

What shape does the graph of y=∣x∣y = |x| create?

V-shaped curve

What is the domain of f(x)=∣x∣f(x) = |x|?

(−∞,∞)(-\infty, \infty)

The graph of y=∣x∣y = |x| is symmetric about which axis?

yy-axis

What does x2\sqrt{x^2} equal?

∣x∣|x|

Which equation represents 'all real numbers xx that are 22 units from −3-3'?

∣x+3∣=2|x + 3| = 2

If x=2x = 2, what is ∣x∣|x| using the piecewise definition?

22

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