y x3 5 y 1square root x 3 y square root x 1 Domain and

y = x^3 + 5 y = 1/square root x + 3 y = -square root x - 1 Domain and range

Solution

1 y = x^3 +5

polynomial function all x and y values are present in domain and range of function

Domain : ( - inf , inf)

Range : ( -inf, inf)

2. y = 1/sqrt( x+3)

x+3 > 0 ---> x>-3

Domain: ( -3 , inf)

Range ( -inf, 0) U ( 0, inf)

3. y = -sqrt(x-1)

Domain : ( x-1)>=0

x>=1 . [ 1 , inf)

Range : [ 0, inf )