How do you find the domain and range of f(a)=3√4a?

1 Answer
Alan P.
Jun 30, 2016

Assuming we are restricted to Real numbers:
Domainf=[0,+∞)
Rangef=[0,+∞)

Explanation:

3√4a is defined as a Real number for all values of (4a)≥0
which implies for all values of a≥0
Thus the domain is [0,+∞)

The minimum value of 3√4a is 0 which occurs when a=0 and increases without bound as a→+∞
Thus the range of f(a)=3√4a is [0,+∞)

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