Cubic and Cube Root Functions - Transformations

Front

What is the range of all cube root functions in interval notation?

Back

(−∞, ∞)

Front

Name the parent function of cube root functions.

Back

cube root

Front

What is the equation of the parent function for cube root?

Back

y = ∛x

Front

Which of the following is NOT true about the graph of a cube root function? The range is all real numbers.

Back

The function has been shifted 6 units right.

Front

If f(x) = ∛(x - 1) + 6 is shifted down 2 and right 7, what is the new range?

Back

(-∞, ∞)

Front

What transformation occurs when a function is shifted 6 units to the right?

Back

The input x is replaced with (x - 6).

Front

What does a vertical stretch by a factor of 2 do to the cube root function?

Back

It multiplies the output by 2, changing the function to y = 2∛x.

Front

What is the effect of shifting a function up by 1 unit?

Back

The output y is increased by 1, changing the function to y = ∛x + 1.

Front

How do you express the transformation of f(x) = ∛x after shifting it left 3 units?

Back

f(x) = ∛(x + 3).

Front

What is the domain of all cube root functions?

Back

(-∞, ∞)