What is the range of the function y=square root x+5
Accepted Solution
A:
Answer:Range of the given function is [ 5 , β )Step-by-step explanation:Given function is [tex]y\:=\:\sqrt{x}+5[/tex]We need to find Range of the given function.The Range of function is the set of all possible values of the dependent variable ( here, y ) Β , after substituting the value of domain.We know that square root can not have negative value. So, Domain of the given function is all non negative real number.That is Domain = { x : x β R and x β₯ 0 } = [ 0 , β )Now for range,put x = 0 in given function,[tex]y\:=\:\sqrt{0}+5=5[/tex] Β β Minimum value of range is 5put x = β in given function,[tex]y\:=\:\sqrt{\infinity}+5=\infinity+5=\infinity[/tex] Β β Maximum value of range is βThus, Range Β = { y : y β R and y β₯ 5 } = [ 5 , β )Therefore, Range of the given function is [ 5 , β )