Understanding Functions and Their Domains

What is the domain of a function?

• The set of all possible graph points

• The set of all possible function rules

• The set of all possible input values

• The set of all possible output values

What does it mean if a function's domain is 'implied'?

• The domain is not important

• The domain is the same as the range

• The domain is explicitly stated

• The domain is not explicitly stated but understood from the function rule

How can a function's domain be represented?

• Using inequalities, set builder, or interval notation

• Using only graph representation

• Using only interval notation

• Using only set builder notation

What is the implicit domain of the function g(x) = √x?

• x ≥ 0

• x ≤ 0

• x > 0

• x < 0

What does an open circle on a graph indicate?

• The function has a maximum at that point

• The point is included in the domain

• The point is excluded from the domain

• The function is continuous at that point

How do you represent a domain that excludes certain values?

• Using a multiplication symbol

• Using a division symbol

• Using a subtraction symbol

• Using a union symbol

What must be avoided when performing division with functions?

• Subtracting the numerator from the denominator

• Dividing by zero

• Multiplying the numerator and denominator

• Adding the numerator and denominator

What is the result of adding two functions?

• A new function with a domain that is the same as the first function

• A new function with a domain that is the same as the second function

• A new function with a domain that is the union of the original domains

• A new function with a domain that is the intersection of the original domains

What is the result of composing two functions?

• A new function with the same domain as the first function

• A new function with the same domain as the second function

• A new function with a domain that is the union of the two original domains

• A new function with a domain that is the intersection of the two original domains

What does it mean for function composition to be non-commutative?

• The functions must be different

• The functions must be the same

• The order of functions matters

• The order of functions does not matter