The graph below is the reciprocal function. You can change k, and notice the effects.[br][br]Answer the questions below, in your notebook.

[b]Question 1:[/b] Why is this function called the "reciprocal" function? What does reciprocal mean in mathematics?[br][br][b]Question 2: [/b]Make a list of the properties of the reciprocal function, when [math]k=1[/math]. [br][b]Hint: [/b]Discuss overall shape, symmetry, asymptotes, ect.[br][br][b]Question 3: [/b]Switch [math]k[/math] from positive to negative. What changes? Describe the reciprocal function, when [math]k[/math] is negative.[br][br][b]Question 4: [/b]Consider [math]\left|k\right|[/math], the absolute value of k. Describe how the function changes when [math]\left|k\right|[/math]increases and decreases. Check this for both positive and negative values of [math]k[/math].[b][br][/b]

Use the two sliders to change the values of "a" and "b" in the exponential function to see how the graph changes.