Parent Functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, representing the basic characteristics of that family.

Front

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

Back

(-∞, ∞)

Front

What is the domain of the quadratic parent function f(x) = x²?

Back

(-∞, ∞)

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if any vertical line intersects the graph more than once, it is not a function.

Front

What type of function is f(x) = √x?

Back

Square root function.

Front

What is the general form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is the parent function for exponential growth?

Back

f(x) = a^x, where a > 1.

Front

What is the parent function for exponential decay?

Back

f(x) = a^x, where 0 < a < 1.

Front

What is the parent function for a reciprocal function?

Back

f(x) = 1/x.

Front

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

Back

[0, ∞) because the square root of a negative number is not defined in the real number system.