Reciprocal Function

The graph below is the reciprocal function. You can change k, and notice the effects. Answer the questions below, in your notebook.
Question 1: Why is this function called the "reciprocal" function? What does reciprocal mean in mathematics? Question 2: Make a list of the properties of the reciprocal function, when . Hint: Discuss overall shape, symmetry, asymptotes, ect. Question 3: Switch from positive to negative. What changes? Describe the reciprocal function, when is negative. Question 4: Consider , the absolute value of k. Describe how the function changes when increases and decreases. Check this for both positive and negative values of .