Chapter 5 – Group Assignment Questions 1. Analyze the key features of the function 1 ) ( − = x x x f . How does it compare to the graph of 1 ) ( − = x x x g ? 2. Let n x x f + = ) ( and n x x g + = 1 ) ( , where n is a constant. Analyze the key features of ) ( x g . At what point would the two graphs ) ( x f and ) ( x g intersect? 3. Analyze the similarities and differences in the graphs of 1 8 ) ( + = nx x x f for 8 , 4 , 2 , 1 = n . Make a conjecture about how the function changes as the values of ∞ → n . If n is negative, how does the function change as −∞ → n ? 4. Analyze the key features of the function 1 2 ) ( + = x x f . How does it compare to the graph of 1 2 ) ( + = x x g ? 5. As blood moves from the heart through the major arteries out to the capillaries and back through the veins, the systolic pressure continuously drops. The pressure is given by the function 1 125 25 ) ( 2 2 + + = t t t P , where P is measured in millimeters of mercury and t is measured in seconds. Sketch the graph of the function. Then, determine the average rate of change of the blood pressure between each second for 100 < < t . What does this tell you? 6. The average cost per year in electricity for a widescreen TV is approximately $18. The price of a new widescreen TV is $1299. Develop a function, ) ( t C that gives the annual cost
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