Question

What is the domain and range of It’s
h(x)= -1/2(x-4)^2 +3

Answer 1

Domain: [ − 3 ,∞ )

Range: ( − ∞ , 0 ]

Explanation:

h ( x ) = − √ x + 3

the domain:

x +3 ≥ 0 x ≥ − 3

in interval form:

[ − 3 , ∞ )

the range:

lowest possible value under the square root sign is zero, thus:

y ≤ 0

in the interval form:

( − ∞ , 0 ]