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Which of these relations are functions of x on R

  1. Nov 7, 2016 #1
    Mentor note: moved to homework section

    y = sin(x)
    y = cos(x)
    y = tan(x)
    y = csc(x)
    y = sec(x)
    y = cot(x)

    (a) 0 (b) 4 (c) 6 (d) 2
    I thought it was (c) because i graphed all the trig functions and they passed the vertical line test but the answer sheet is saying (d) 2
     
    Last edited by a moderator: Nov 7, 2016
  2. jcsd
  3. Nov 7, 2016 #2

    pwsnafu

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    Science Advisor

    "on R" is referring to the domain of function being all real numbers. Only sine and cosine satisfy this.
     
  4. Nov 7, 2016 #3
    oh true, thats where i was confused i think then, so is that because the others have vertical asymptotes ?
     
  5. Nov 7, 2016 #4

    mathwonk

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    Science Advisor
    Homework Helper

    no, it is because they are not defined at the x coordinate of the vertical asymptote. but i think that is what you meant.
     
  6. Nov 7, 2016 #5
    yeah thats what i was meaning, thanks
     
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