Parent Functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.

Front

Name the parent function of a cubic function.

Back

The parent function of a cubic function is f(x) = x³.

Front

What is the parent function of a linear function?

Back

The parent function of a linear function is f(x) = x.

Front

Identify the parent function of a quadratic function.

Back

The parent function of a quadratic function is f(x) = x².

Front

What is the parent function of a sine function?

Back

The parent function of a sine function is f(x) = sin(x).

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What type of function is represented by f(x) = |x|?

Back

The function f(x) = |x| is an absolute value function.

Front

What is the parent function of an exponential function?

Back

The parent function of an exponential function is f(x) = a^x, where a > 0.

Front

Describe the characteristics of a linear function.

Back

A linear function has a constant rate of change, represented by a straight line on a graph, and can be expressed in the form f(x) = mx + b.

Front

What is the parent function of a rational function?

Back

The parent function of a rational function is f(x) = 1/x.