Cubic and Cube Root Functions Activity For Exemplar Lesson

Front

What is the cube root of 990?

Back

The cube root of 990 is approximately 9.97.

Front

What is the domain and range of a function that is defined for all real numbers?

Back

Domain: (-∞, ∞), Range: (-∞, ∞)

Front

Solve the cube root equation: x^3 = 228.

Back

x = 6.

Front

What does a vertical stretch by a factor of 2 mean for a function?

Back

It means that the function's output values are multiplied by 2, making the graph taller.

Front

Describe the transformation of the graph y = -2(x + 5)^3.

Back

The graph is stretched by a factor of 2, reflected over the x-axis, and shifted left by 5 units.

Front

What is the general form of a cube root function?

Back

The general form is f(x) = ∛(x - h) + k, where (h, k) is the translation of the graph.

Front

How do you find the cube root of a number?

Back

You can find the cube root of a number by raising it to the power of 1/3.

Front

What is the effect of a horizontal compression by a factor of 1/2 on a function?

Back

It means that the function's input values are halved, making the graph narrower.

Front

What is the cube root of 0?

Back

The cube root of 0 is 0.

Front

What is the transformation of the graph y = (x - 2)^3?

Back

The graph is shifted right by 2 units.