What is the domain and range of y=5√x?

1 Answer
Logan
Jun 16, 2016

Domain: [0,∞)
Range:[0,∞)

Explanation:

If we consider the general equation for a square root function:
f(x)=a√±h(x−b) +c

We can determine the endpoint of such a function as the endpoint can be found at the point (b,c).
As there is no b or c coefficient in the given function, we can determine the endpoint to be (0,0).

Therefore the domain of the function is [0,∞) and the range is [0,∞).

A graph is attached below for visualisation.

graph{5sqrtx [-32, 48, -10.48, 29.52]}

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