Six Parent Functions

Front

What is a Constant Function?

Back

A constant function is a function that always returns the same value, regardless of the input. It can be represented as f(x) = c, where c is a constant.

Front

What is a Linear Function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a Quadratic Function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is an Absolute Value Function?

Back

An absolute value function is a function that returns the absolute value of a number, represented as f(x) = |x|. It creates a V-shaped graph.

Front

What is a Cubic Function?

Back

A cubic function is a polynomial function of degree 3, expressed as f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants.

Front

What is a Square Root Function?

Back

A square root function is a function that involves the square root of a variable, represented as f(x) = √x. Its graph is half of a sideways parabola.

Front

What is a Simple Rational Function?

Back

A simple rational function is a function that can be expressed as the ratio of two polynomials, typically in the form f(x) = p(x)/q(x), where p and q are polynomials.

Front

Identify the parent function: f(x) = |x|.

Back

This is an Absolute Value Function.

Front

Identify the parent function: f(x) = x².

Back

This is a Quadratic Function.

Front

Identify the parent function: f(x) = x³.

Back

This is a Cubic Function.