Respuesta :
x cannot be negative, so the first option and the third option are out.
when x = 1, f(x) = -1; when x = 4, f(x) = -2 and when x = 9, f(x) = -3. Hence the last option.
when x = 1, f(x) = -1; when x = 4, f(x) = -2 and when x = 9, f(x) = -3. Hence the last option.
Answer:
The list of points that lie on the graph of the function is:
(1,-1),(4,-2),(9,-3)
Step-by-step explanation:
The square root function f(x) is given by:
[tex]f(x)=-\sqrt{x}[/tex]
We know that the domain of the square root function is x ≥ 0
and when x ≥ 0
then √x ≥ 0
Hence,
[tex]-\sqrt{x}\leq 0[/tex]
This means that the list of points must have x-coordinate as non-negative value and y-coordinate as non-positive value.
Now when x=1
we have:
[tex]f(x)=-\sqrt{1}\\\\\\f(x)=-1[/tex]
when x=4 we have:
[tex]f(x)=-\sqrt{4}\\\\\\f(x)=-2[/tex]
and when x=9 we have:
[tex]f(x)=-\sqrt{9}\\\\\\f(x)=-3[/tex]
Hence, the points are:
(1,-1) , (4,-2) and (9,-3)
By plotting the graph of this function we may check the point.
