005 Sample Final A, Question 1

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Question Please circle either true or false,
    a. (True/False) In a geometric sequence, the common ratio is always positive.
    b. (True/False) A linear system of equations always has a solution.
    c. (True/False) Every function has an inverse.
    d. (True/False) Trigonometric equations do not always have unique solutions.
    e. (True/False) The domain of is all real numbers.
    f. (True/False) The function is defined for all real numbers.

Final Answers
a) False. Nothing in the definition of a geometric sequence requires the common ratio to be always positive. For example,
b) False. Linear systems only have a solution if the lines intersect. So y = x and y = x + 1 will never intersect because they are parallel.
c) False. does not have an inverse.
d) True. has multiple solutions.
e) True. The domain of is the range of
f) False. The domain of is the range of

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