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

Answer: 0.5

Question 2: Find the value of x when y = 0.25 in the equation y = 1/x.

Answer: 4

Question 3: Plot the graph of y = 1/x for x values of -3, -1, 1, and 3. Use the grid to sketch the curve.

Answer: Students will draw on the grid

Question 4: Identify the asymptotes of the graph of y = 1/x.

Answer: x=0 and y=0

Question 5: Calculate y when x = -4 for y = 1/x.

Answer: -0.25

Question 6: Explain why the graph of y = 1/x does not touch the x-axis or y-axis.

Answer: Because y=1/x is never zero and x=0 makes the function undefined.

Question 7: Determine the value of y when x = 0.5 and x = -0.5.

Answer: 2 and -2

Question 8: Construct a graph of y = 1/x and identify the points corresponding to x = 1, 2, 4, and 8.

Answer: y=1, 0.5, 0.25, 0.125 for respective x values

Question 9: Describe the end behavior of the graph of y = 1/x as x approaches 0 from the positive and negative sides.

Answer: As x approaches 0 from the positive side, y approaches infinity; from the negative side, y approaches negative infinity.

Question 10: Identify and correct the mistake in plotting the point (2, 2) on the graph of y = 1/x.

Answer: Correct point should be (2, 0.5), since y=1/2.

Question 11: Estimate on the grid where the graph of y=1/x passes through the point (1, 1). Is this correct? Why or why not?

Answer: No, because y=1/1=1, so the point (1, 1) is correct.

Question 12: Extend the graph of y=1/x to include x = 10 and x = -10. State the corresponding y-values and describe the trend.

Answer: y=0.1 and y=-0.1; the y-values get closer to zero as x increases in magnitude.