# 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 |
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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 |