2023 -2024 - Graphing Cube Root Functions

Front

What is the Domain of ALL Cube Root Functions?

Back

(−∞,∞)

Front

If 2^4x=16, then x=?

Back

1

Front

What is the x-intercept of the function?

Back

(32,0)

Front

What is the center point of the function?

Back

(5,-3)

Front

Define a cube root function.

Back

A function of the form f(x) = ∛(x), which returns the cube root of x.

Front

What is the general shape of a cube root function graph?

Back

It has a characteristic S-shape, increasing from left to right.

Front

How does the graph of f(x) = ∛(x) differ from f(x) = ∛(x - 2)?

Back

The graph of f(x) = ∛(x - 2) is shifted 2 units to the right.

Front

What is the range of all cube root functions?

Back

(−∞,∞)

Front

What is the effect of a negative sign in front of a cube root function, like f(x) = -∛(x)?

Back

It reflects the graph across the x-axis.

Front

How do you find the y-intercept of a cube root function?

Back

Set x = 0 and solve for f(0).