005 Sample Final A, Question 17

Question Graph the following function,

$f(x)=\log _{2}(x+1)+2$

Make sure to label any asymptotes, and at least two points on the graph.

Final Answers
a) False. Nothing in the definition of a geometric sequence requires the common ratio to be always positive. For example, $a_{n}=(-a)^{n}$
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. $y=x^{2}$ does not have an inverse.
d) True. $cos^{2}(x)-cos(x)=0$ has multiple solutions.
e) True.
f) False.

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