Core 3 Unit 7

Question 0

Express |x-k| < a in another for (for a>0)

Answer 0

k-a < x < k+a

Question 1

How to sketch the graph of |f(x)|

Answer 1

Sketch y=f(x) then reflect any part which lies below the x axis, in the x axis.

Question 2

How to solve an equation such as |x+a|=b or |x+a|=|x+b|

Answer 2

You can square both sides to find the roots.

Question 3

How to find the equation of a modulus graph, eg. |ax+b|

Answer 3

The unreflected side is the original graph of y=ax+b. For the reflected side, the modulus part becomes negative so y=-ax-b