Answer:
option 4 is right
Step-by-step explanation:
Consider the trignometric function y =cotx
Since cot x has sin x in denominator, cot x is undefined whenever sinx =0
OR whenever x =n π, for any integer n, cot x is undefined
Hence domain =(-∞,∞) ,x≠nπ
Range = -∞<y<∞
since cotx can take any real values
The graph y=cotx will be a periodic function discontinuous at all integral multiples of pi and undefined for integral multiples of pi.
It is not defined for x=0 also
It passes through (pi/4,1) (npi/2,0)
i.e. x intercepts are odd multiples of pi/2
and it takes value 1 for pi/4, 5pi/4, .....
Answers:
Domain:
Range:
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Explanation:
domain = set of all possible x inputs
range = set of all possible y outputs
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In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.
We can say x is between and and write
That turns into the interval notation
The curved parenthesis are <u>always</u> used with either infinity because we cannot reach them.
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The range is the same story, but with the y values this time. The graph stretches forever upward and downward due to the arrow.
If it peaked at y = 4, then the range would be , but instead the graph goes beyond y = 4 because of that upward arrow.
I can't be sure but I think the answer is A. $78.75.
Simple you have to act like a imaginary one is there