|Part 4||Test 3||Time: 2 hours|
Answer: 3 to the left.
Answer: 10 down.
Answer: The set of all real numbers, or in interval notation, .
Answer: The range is all values of y between 0 and -20, or in interval notation, [-20,0].
Answer: Here are four such values of x that have a y-coordinate of 0:
There are infinitely many other solutions.
Answer: 2.2453 radians.
Answer: The graph of f(x) is bounded by the functions , and .
Answer: Because the greatest value can be is 1, and the lowest value it can be is -1. Therefore, the graph of f(x) is contained between the functions , and .
Answer: The buildings are approximately 4704.63 feet apart.
Answer: The biggest interval which will work is .
Answer: The graph of is a reflection of the graph of f(x) over the line g(x).
Answer: The interest earned will be $23,201.17.
Answer: The solution is the set of all x's on the intervals
Answer: When the value of x is greater than 0, x>0.
Answer: Both functions are equal when x>0.
Answer: It was 60,000 in the year 1915.
Answer: It was 1,000,000 in the year 1977.
Answer: The population will never decrease as long as the same growth behavior continues.
Answer: There must be six (real or complex) zeros since this is a sixth degree polynomial. Using the rational zero test, and synthetic division to find the rational zeros, one obtains as zeros:
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