Question 1: Calculate the value of y when x = 2 in the function y = x³.

Answer: 8

Question 2: Plot the point corresponding to x = -1 on the graph of y = x³.

Answer: (-1, -1)

Question 3: Find y when x = 3.

Answer: 27

Question 4: Determine the value of x when y = 8 in the equation y = x³.

Answer: 2

Question 1: Plot the points for x = -2, 0, and 2 on the grid for y = x³.

Answer: (-2, -8), (0, 0), (2, 8)

Question 2: Identify the cubic function's key features: intercepts, symmetry, and end behaviors.

Answer: Y-intercept at (0,0); odd symmetry; as x→±∞, y→±∞ respectively.

Question 3: Construct a graph of y = x³ for x from -3 to 3. Label key points.

Answer: Plot points at (-3, -27), (-2, -8), (-1, -1), (0,0), (1,1), (2,8), (3,27).

Question 4: Determine the x-values where y = 1 and y = -1.

Answer: x=1 and x=-1 respectively

Question 1: A toy’s height in meters after x seconds is modeled by y = x³. How tall is the toy after 4 seconds?

Answer: 64 meters

Question 2: If the height of the plant is modeled by y = x³, what is the height after x = -3 seconds?

Answer: -27

Question 1: Given the graph of y = x³, find points where y = 8 and y = -8. Explain the reasoning.

Answer: x=2 and x=-2 because 2³=8 and (-2)³=-8.

Question 2: Derive the inverse function of y = x³ and describe its graph.

Answer: Inverse: x = y³; graph is mirror image across y=x line.

Question 1: Plot y = x³ for x from -2 to 2 with increments of 1. Label each point.

Answer: (-2, -8), (-1, -1), (0, 0), (1, 1), (2, 8)

Question 2: Identify and correct the mistake: Student claims that y = x³ is a quadratic function.

Answer: y = x³ is cubic, not quadratic; it has degree 3, not 2.