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

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

The positive value

What is 5|-5| equal to?

5

What is the solution to x3|x| \leq 3?

3x3-3 \leq x \leq 3

What is the solution to x>2|x| > 2?

x<2x < -2 or x>2x > 2

What is the solution to x14|x - 1| \leq 4?

3x5-3 \leq x \leq 5

What is the solution to 2x+3>7|2x + 3| > 7?

x<5x < -5 or x>2x > 2

For x+25|x + 2| \geq 5, what is the solution?

x7x \leq -7 or x3x \geq 3

What does the word 'modulus' mean?

Distance from origin

When sketching y=f(x)y = |f(x)|, what happens to negative parts of y=f(x)y = f(x)?

They reflect above the x-axis

What shape does the graph of y=x3y = |x - 3| have at x=3x = 3?

V-shape

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