2 The Modulus Function

Question 0

Solvant modulus equations

Answer 0

Make the modulus bracket one a plus and one a negative, since it is essentially a negative and a positive version of the same graph stuck together

There will be two answers, however, if only one side of the modulus graph is required (one interception) then only use that side

Question 1

To draw the modulus

Answer 1

Draw the equation first then reflect the negative into y=0

Negative u’so reflected into the x axis

Question 2

Why can a modulus equation never equal a negative

E.g |3x+1| = -2

Answer 2

Because the modulus has to be greater or the same as 0

Question 3

What do the two sides of the equation mean

Answer 3

They are two different graphs

Question 4

How do you know a modulus equation is equal to another equation

Answer 4

Their two graphs will cross

Question 5

To find the points of intersection

Answer 5

-|...| = (....)
|....| = (.....)

Question 6

Solving modulus equalities

Answer 6

Solve as if an equal sign then add in the required inequality sign

Question 7

If a |….|=|….|

Then you

Answer 7

Do
|….|=|….|

• |….|=|….|

Look at the graph to see which is the intersector(the one that changes) it crosses twice one branch of the other