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A function does not have any x-intercepts. What
might be true about its domain and range?


Sagot :

The domain exists on all real numbers i.e {x∈R}∈

The range exists all on real numbers except at y = 0

Domains are all input values of a function for which the function exists while ranges are all the output values for which the function exists.

Since the x-intercept of a function exists at where y = 0, this means that the point where a function does not have any x-intercepts are all other points on the graph except at y = 0.

The following statements are therefore true;

  • The domain exists on all real numbers i.e {x∈R}
  • The range exists all on real numbers except at y = 0

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