Domain/Range and Function Families

Front

What is the definition of Domain in a function?

Back

The set of all possible x values (inputs) for which a function is defined, typically represented from left to right.

Front

What is the definition of Range in a function?

Back

The set of all possible y values (outputs) that a function can produce, typically represented from bottom to top.

Front

What is a parent function?

Back

The simplest form of a function in a family of functions, which serves as a basis for transformations.

Front

Name the parent function for the equation f(x) = x^2.

Back

Quadratic function.

Front

Name the parent function for the equation f(x) = |x|.

Back

Absolute value function.

Front

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

Back

[0, ∞) - all x values from 0 to positive infinity.

Front

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

Back

[0, ∞) - all y values from 0 to positive infinity.

Front

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

Back

(-∞, 0) ∪ (0, ∞) - all real numbers except x = 0.

Front

What is the range of the function f(x) = 1/x?

Back

(-∞, 0) ∪ (0, ∞) - all real numbers except y = 0.

Front

Which parent function matches the graph of f(x) = |x|?

Back

Absolute value function.