SOLUTION: Let f(x)=cot x Q1 graph f(x) Q2 is f(x) periodic? Q3 is f(x) continuous? Q4 Give the domain in range

Question 1132479: Let f(x)=cot x
Q1 graph f(x)
Q2 is f(x) periodic?
Q3 is f(x) continuous?
Q4 Give the domain in range
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
q1

here's the graph

$$$

q2

yes it is periodic.
the graph repeats every 180 degrees.

q3

no, it is not continuous.
there are breaks in the continuity every 180 degrees.

q4

the domain is all real values of x except at the points of discontinuity.
those occur every 180 degrees at 0 degrees plus or minus 180 * n, wher n is a posiive integer.
this means at 0, plus or minus 180, plus or minus 360, etc.

the range is all real values of y.

here's a useful reference for domain and range of algebraic and trigonometric functions.

http://www.analyzemath.com/DomainRange/domain_range_functions.html

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