|Part 1||Test 1||Time: 1 hour|
Answers: The function is even, its four x-intercepts are at x=-3, x=-2, x=2 and x=3. The function is increasing on the intervals and on , the function is decreasing on the intervals and on . The maximum value is 36, attained at x=0; the minimum value is -6.25, attained at .
Answers: An equation of the circle is
The point C lies outside the circle.
Answers: The domain of f(x) is the interval , the domain for g(x) is the interval . Both functions will be invertible if their domain is further restricted to contain only non-negative numbers. The domain of is the interval .
Answer: x = 2.
Find the domain of the expression and simplify the expression completely.
Answers: The domain is the interval . The expression can be simplified to
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