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

1 Answer
Oct 23, 2015

Answer:

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

Explanation:

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]}