SOLUTION: Determine the domain and range of the function. f(x)= sqrt(x+16) , x < 4 (x-5)^2 , x >= 4

Algebra.Com
Question 310525: Determine the domain and range of the function.
f(x)= sqrt(x+16) , x < 4
(x-5)^2 , x >= 4

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Determine the domain and range of the function.
f(x)= sqrt(x+16) , x < 4
::::::::::(x-5)^2 , x >= 4
===================================
Domain:
solve x+16 must be >= 0
x >= -16
---
Therefore, Domain is All Real Numbers >=-16
===============================================
Range:
sqrt and (x-5)^2 are both >= 0
Range is All Real Numbers >= 0
===============================================
Cheers,
Stan H.

RELATED QUESTIONS

please give the range and domain of this function... (answered by venugopalramana)
please give me the domain & range of this function f(x)=... (answered by venugopalramana)
Determine the domain and the range of the function. f(x)=sqrt( 3x-2) (answered by MathLover1)
Determine the domain and range of the function and graph it? f(x)=sqrt(x) +... (answered by ewatrrr)
Find the domain and range of the following function in interval form. f(x)= {{{ sqrt(... (answered by Theo)
Find the domain and range of the following function in interval form f(x)={{{ sqrt(... (answered by MathLover1)
what is the domain and range of the function.... f(x)= 4/x +... (answered by lwsshak3)
I need to determine the domain of the function {{{f(x)=sqrt(x^2-16)... (answered by edjones)
Find the translation of the function and domain and range. f(x)=3^x+4... (answered by MathLover1)