Graphs of Radical Functions

Front

What kind of function is represented by the graph?

Back

Cube Root Function

Front

Name the parent function of the square root function.

Back

Square Root

Front

What is the domain of the square root function?

Back

[0, ∞) - The domain includes all non-negative real numbers.

Front

What is the range of the square root function?

Back

[0, ∞) - The range includes all non-negative real numbers.

Front

What is the general form of a cube root function?

Back

f(x) = ∛(x) - This function represents the cube root of x.

Front

How does the graph of a cube root function behave as x approaches infinity?

Back

As x approaches infinity, f(x) also approaches infinity.

Front

How does the graph of a cube root function behave as x approaches negative infinity?

Back

As x approaches negative infinity, f(x) approaches negative infinity.

Front

What is the effect of a vertical shift on the graph of a radical function?

Back

A vertical shift moves the graph up or down without changing its shape.

Front

What is the effect of a horizontal shift on the graph of a radical function?

Back

A horizontal shift moves the graph left or right without changing its shape.

Front

What is the domain of the cube root function?

Back

(-∞, ∞) - The domain includes all real numbers.