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

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

Back

Linear function.

Front

Identify the parent function: f(x) = x^2.

Back

Quadratic function.

Front

Identify the parent function: f(x) = x^3.

Back

Cubic function.

Front

Identify the parent function: f(x) = \frac{1}{x}.

Back

Rational function.

Front

Identify the parent function: f(x) = \sqrt{x}.

Back

Square root function.

Front

Identify the parent function: f(x) = \sqrt[3]{x}.

Back

Cube root function.

Front

What is the general form of a linear function?

Back

f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the general form of a cubic function?

Back

f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.