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Math A Level > Modulus > Flashcards

Flashcards in Modulus Deck (10)
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1
Q

Modulus or absolute value of a number is

A

The numbers size written |-1| = 1

Functions can have modulus too.

2
Q

|f(x)| = -f(x) when

A

F(x) < 0

3
Q

|f(x)| = f(x) when

A

F(x) => 0

4
Q

Drawing modulus graph y = |f(x)|

A

Restricts the range to |f(x)| => 0

So reflect the negative part of the line y = f(x) in the x axis

5
Q

Drawing modulus graph y = f(|x|)

A

The negative x values produce the same result as the positive x values

For negative x values reflect the line in the y axis p28

6
Q

Drawing modulus graph y = |f(-x)|

A

X values change from positive to negative or from negative to positive.

So graph reflected in y axis. Then any negative values of f(x) are made positive by reflecting them in the x axis.

7
Q

Easiest way to draw modulus graphs

A

Draw normal graph then reflect line appropriately.

8
Q

If |a| = |b| then

A

a^2 = b^2

9
Q

If modulus around numbers = something

A

Then

Numbers without modulus = positive something

Or

Numbers without modulus = negative something

10
Q

Useful rule |x-a| < b

=

A

a-b