How do you find the domain and range of $f(x)=sqrt(x+4)$ ?

Question

16272 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-10-23T16:47:08

Domain = $[-4,oo)$
Range = $[0,oo)$

The domain is all allowed x values and excludes values that either lead to division by zero or taking even square roots of negative numbers.

Clearly in this case hence the domain is all real x values greater than or equal to -4.,
that is $Dom_f=[-4;oo)$

The corresponding range is then all the possible y values allowed as outputs and is clearly $[0,oo)$

The graph verifies this as well :

graph{sqrt(x+4) [-11.97, 33.66, -9.85, 12.95]}

How do you find the domain and range of f(x)=sqrt(x+4)f(x)=sqrt(x+4)?