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 quadratic parent function y = x²?

Back

The range is [0, ∞) in interval notation.

Front

What is the domain of the absolute value parent function y = |x|?

Back

The domain is (-∞, ∞) in interval notation.

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 represented by the equation y = 2^x?

Back

Exponential function.

Front

What is the general shape of a linear function graph?

Back

A straight line.

Front

What is the range of the linear parent function y = x?

Back

The range is (-∞, ∞) in interval notation.

Front

What is the defining characteristic of a quadratic function?

Back

It has a parabolic shape, opening upwards or downwards.

Front

What is the domain of the quadratic parent function y = x²?

Back

The domain is (-∞, ∞) in interval notation.

Front

What type of function is represented by the equation y = |x|?

Back

Absolute value function.