Exploring Functions: Domain and Range Concepts

What is the domain of a function?

• A set of all possible output values

• A set of all possible input values

• A set of all positive values

• A set of all negative values

How can you remember that the domain is all possible input values?

• D comes before R and X comes before Y

• R comes before D and Y comes before X

• D comes after R and X comes after Y

• R comes after D and Y comes after X

What is the range of the function f(x) = x?

• All positive values

• All values that y can take

• All negative values

• All values that x can take

What is the range of the function f(x) = x^2?

• All positive values

• All values less than or equal to 0

• All values greater than or equal to 0

• All values

What is the domain of the function f(x) = 1 / (x - 2)?

• All negative values

• All values except x = 2

• All values except x = 0

• All positive values

Why must the denominator of a function be non-zero?

• To make the function negative

• To make the function zero

• To avoid the function being undefined

• To make the function positive

Can we have a negative number within the square root?

• No, only if the number is positive

• No, never

• Yes, sometimes

• Yes, always

What is the second constraint related to even roots?

• Even roots can have any number under them

• Even roots can have only negative numbers under them

• Even roots can have only non-negative numbers under them

• Even roots can have only positive numbers under them

What is the minimum value of the function f(x) = x^2 + 1?

• 0

• 1

• 2

• 3

What will be the range of the function f(x) = x^2 + 1?

• All values greater than or equal to 1

• All values less than or equal to 0

• All values less than or equal to 1

• All values greater than or equal to 0