Is it possible to graph $f(x) = (-2)^x$?

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I can plot points on the coordinate plane only when my x value is integer. What's happening on the graph when x is fraction? My calculator breaks raising a negative number to a fractional exponent.



This website can't graph the function either: https://www.desmos.com/calculator/xucwdp4dz3



Can we graph that function somehow?




functions exponential-function exponentiation




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    up vote
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    I can plot points on the coordinate plane only when my x value is integer. What's happening on the graph when x is fraction? My calculator breaks raising a negative number to a fractional exponent.



    This website can't graph the function either: https://www.desmos.com/calculator/xucwdp4dz3



    Can we graph that function somehow?




    functions exponential-function exponentiation




    share|cite|improve this question





















      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I can plot points on the coordinate plane only when my x value is integer. What's happening on the graph when x is fraction? My calculator breaks raising a negative number to a fractional exponent.



      This website can't graph the function either: https://www.desmos.com/calculator/xucwdp4dz3



      Can we graph that function somehow?




      functions exponential-function exponentiation




      share|cite|improve this question











      I can plot points on the coordinate plane only when my x value is integer. What's happening on the graph when x is fraction? My calculator breaks raising a negative number to a fractional exponent.



      This website can't graph the function either: https://www.desmos.com/calculator/xucwdp4dz3



      Can we graph that function somehow?





      functions exponential-function exponentiation





      share|cite|improve this question










      share|cite|improve this question




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      asked 2 days ago









      Vitalii Paprotskyi

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          That function is not defined in a lot of points on the real axis. For example, if you take $x=frac12$ then $(-2)^x=(-1)^x*2^x=sqrt-1*sqrt2$, so you are taking a square root of a negative number here and hence the function is not defined at $x=frac12$. So to do something with this function you need to work in the complex plane, and even then there will be some problems.






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            up vote
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            down vote



            accepted










            That function is not defined in a lot of points on the real axis. For example, if you take $x=frac12$ then $(-2)^x=(-1)^x*2^x=sqrt-1*sqrt2$, so you are taking a square root of a negative number here and hence the function is not defined at $x=frac12$. So to do something with this function you need to work in the complex plane, and even then there will be some problems.






            share|cite|improve this answer

























              up vote
              3
              down vote



              accepted










              That function is not defined in a lot of points on the real axis. For example, if you take $x=frac12$ then $(-2)^x=(-1)^x*2^x=sqrt-1*sqrt2$, so you are taking a square root of a negative number here and hence the function is not defined at $x=frac12$. So to do something with this function you need to work in the complex plane, and even then there will be some problems.






              share|cite|improve this answer























                up vote
                3
                down vote



                accepted







                up vote
                3
                down vote



                accepted






                That function is not defined in a lot of points on the real axis. For example, if you take $x=frac12$ then $(-2)^x=(-1)^x*2^x=sqrt-1*sqrt2$, so you are taking a square root of a negative number here and hence the function is not defined at $x=frac12$. So to do something with this function you need to work in the complex plane, and even then there will be some problems.






                share|cite|improve this answer













                That function is not defined in a lot of points on the real axis. For example, if you take $x=frac12$ then $(-2)^x=(-1)^x*2^x=sqrt-1*sqrt2$, so you are taking a square root of a negative number here and hence the function is not defined at $x=frac12$. So to do something with this function you need to work in the complex plane, and even then there will be some problems.







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                answered 2 days ago









                Mark

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