Functions

Question 1

For function f(x) where A→B. What is the domain?

Answer 1

Set A (all possible input values)

Question 2

For function f(x) where A→B. What is the codomain?

Answer 2

Set B (potential output values)

Question 3

Range

Answer 3

Actual output values from the domain

Question 4

We can have:

Answer 4

• Several inputs correspond to the same output
• There is a value in B which never be an output value

Question 5

We cannot have:

Answer 5

• One input corresponds to two different outputs
• There is a value in A which is not an input value

Question 6

f∘g(x)

Answer 6

f(g(x))

Question 7

If f:A→B and g:B→C, then g∘f

Answer 7

g∘f:A→C