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| 1. Describe what happens to the value
of the function as x approaches infinity and as x approaches negative infinity:
a. y = x^6 b. y = 2(10^x) 2. Determine which function is dominant as x approaches infinity. Justify your answer. y = 10^(2x) or y = 72,000x^12 3. A function y = t(x) is always increasing, has a domain of all real numbers, and has a range of (0, 4). Sketch a possible graph for the inverse of t(x). 4. According to the April 1991 issue of Car and Driver, an Alfa Romeo traveling at 70 mph requires 177 feet to stop. Assuming that the stopping distance is proportional to the square of velocity, find the stopping distances required by an Alfa Romeo traveling at 35 mph and at 140 mph. 5. A certain region has a population of 10,000,000 and an annual growth rate of 2%. What is the doubling time of the population? |
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