The modulus function

Question 1

What is a one to one function?

Answer 1

one value of x gives one value of y

Question 2

What is a many to one function?

Answer 2

many values of x give one value of y

Question 3

What is not a function?

Answer 3

one value of x gives many value of y

Question 4

What is the formula of a modulus?

Answer 4

|a| - remove negative values

Question 5

How does the modulus affect the graph?

Answer 5

Part under the x-axis is reflected above the x-axis

Question 6

How does the position of the modulus affect the reflection?

Answer 6

y = |f(x)| = reflected in the x-axis
y = f(|x|) = reflected in the y-axis

Question 7

How do you sketch modulus equations?

Answer 7

|x| = a
A –> x = a
B –> x = -b