How do you find the domain and range of g(t) = 5t?

1 Answer
Daniel L.
Mar 24, 2017

See explanation.

Explanation:

Domain

The domain is the largest subset of real numbers RR for which the function is defined. To find it we have to look for any possible values of x for which the function is undefined.

The possible exclusions are:

  • zeroes of denominators,

  • values for which expressions under square root sign (or other roots with an even degree) are negative

  • values for which expressions under logarythm signs are negative or zero

The given function does not contain any of the limitations mentioned above, therfore its domain is RR

Range

To find the range we have to look for possible values of the function. From the formula we see that the values can be all numbers in RR. As the arguments go to minus infinity, the values also go to minus infinity. The situation is simmilar when x goes to plus infinity. The values also grow up to plus infinity.
So the range is also RR

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