Question

what is the domain and range for y=sqrt(4-x)

Answer 1

domain (-inf,4]
range all real numbers

Answer 2

could you explain plz ?

Answer 3

for a ssqr function you cant put in anything that would cause it to be negative so anything over 4 will make it negative under the root like 5. 4-5 equal -1 which is bad

Answer 4

hmm thnx got it :)

Answer 5

to find the range you can find the inverse of the function and then find the domain of the nverse function

Answer 6

y=sqrt(4-x)
Can't take square root of a negative and therefore 4-x >= 0
x <= 4
Domain: (-infinity, 4]
Put those ends of the domain into f(x) and you find the range to be:
+infinity to 0
Range: [0, infinity)