005 Sample Final A, Question 1
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.
|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|