Modulus Functions - Sketching Graphs (Edexcel A-Level Mathematics): Quizzes

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Modulus Functions - Sketching Graphs
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What does the modulus function always return?

The absolute value (always positive)

What is the solution to ∣x∣≤3|x| \leq 3?

−3≤x≤3-3 \leq x \leq 3

What is the solution to ∣x∣>2|x| > 2?

x<−2x < -2 or x>2x > 2

Solve ∣x−1∣≤4|x - 1| \leq 4. What is the solution?

−3≤x≤5-3 \leq x \leq 5

Solve ∣2x+3∣>7|2x + 3| > 7. What is the solution?

x<−5x < -5 or x>2x > 2

What is the solution to ∣x+2∣≥5|x + 2| \geq 5?

x≤−7x \leq -7 or x≥3x \geq 3

For ∣4x−3∣<∣2x+1∣|4x - 3| < |2x + 1|, what are the intersection points?

x=13x = \frac{1}{3} and x=2x = 2

For ∣2x+3∣≤∣x−1∣|2x + 3| \leq |x - 1|, what is the solution?

−4≤x≤−23-4 \leq x \leq -\frac{2}{3}

How does y=∣2x∣y = |2x| relate to y=2xy = 2x?

Reflects negative part above x-axis

Where are modulus function graphs positioned?

Always at or above the x-axis

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