Square and Cube Root Functions

Front

What is a square root function?

Back

A square root function is a function of the form f(x) = √x, where the output is the non-negative square root of x.

Front

What is a cube root function?

Back

A cube root function is a function of the form f(x) = ∛x, where the output is the cube root of x, which can be negative, zero, or positive.

Front

Identify the type of function: f(x) = √(x) + 4

Back

Square Root Function

Front

Identify the type of function: f(x) = ∛(x) - 2

Back

Cube Root Function

Front

What is the K-value in the function f(x) = √(x - 5) + 2?

Back

The K-value is 2, which represents a vertical shift of the graph.

Front

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

Back

The domain is x ≥ 0, meaning the function is defined for all non-negative values of x.

Front

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

Back

The range is y ≥ 0, meaning the output values are non-negative.

Front

What is the domain of the function f(x) = ∛(x)?

Back

The domain is all real numbers, meaning the function is defined for every value of x.

Front

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

Back

The range is all real numbers, meaning the output can be any real number.

Front

How does the graph of a square root function behave?

Back

The graph starts at the origin (0,0) and increases gradually, becoming less steep as x increases.