Question 1: Calculate the value of y when x = 3 for y = 2ˣ.

Answer: 8

Question 2: Plot the graph of y = 3ˣ for x values from -2 to 2 on the grid.

Answer: Student plots on grid.

Question 3: Determine the value of y when x = -1 for y = 4ˣ.

Answer: 0.25

Question 4: Construct a graph of y = (1/2)ˣ and explain how its shape compares to y = 2ˣ.

Answer: Graph of y = (1/2)ˣ decreases as x increases; it's a mirror of y = 2ˣ reflected over y-axis.

Question 5: Calculate y when x = 4 for y = 5ˣ.

Answer: 625

Question 6: If y = 2ˣ, what is the value of x when y = 16?

Answer: 4

Question 7: Plot the graph of y = 0.5ˣ for x from -2 to 2. How does its rate of decrease compare to y = 2ˣ?

Answer: y = 0.5ˣ decreases faster as x increases; it is a reflection of y = 2ˣ over y-axis with a reciprocal base.

Question 8: Identify and correct the mistake: The graph of y = 3ˣ is decreasing for positive x.

Answer: Incorrect; y = 3ˣ increases for positive x because the base is greater than 1.

Question 9: Solve for x: y = 8 when y = 2ˣ.

Answer: x = 3

Question 10: Describe the end behavior of y = 3ˣ as x approaches positive and negative infinity.

Answer: As x→∞, y→∞; as x→−∞, y→0.

Question 11: Explain why the graph of y = (1/3)ˣ approaches the x-axis but never touches it.

Answer: Because (1/3)ˣ diminishes toward zero as x increases, but never actually reaches zero.