Answer:
The range of the graph is all real numbers greater than or equal to 0."
Step-by-step explanation:
For a square root function
we see that x values has to be greater than or equal to 0 or else we get negative roots, which is not possible.
So domain (x-values for which function is defined) will be x ≥ 0
We can't get any negative answers from square root functions, so the range would be anything greater than or equal to zero.
So range (y-values for which function is defined) will be y ≥ 0
looking at the answer choices, the last one is right..
The range of the function is all real numbers less than or equal to 4. So option C is correct.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
The function f(x) = -(x + 5)(x+1) is given.
Rearrange it to vertex form:
-(x + 5)(x+1)
= - (x^2 + 6x + 5)
= - [( x + 3)^2 - 9 + 5]
= - (x + 3)*2 + 4
here the vertex is at f(x) = 4 and its a maximum because the coefficient of x^2 is negative.
Hence, the range is all real numbers less than or equal to 4.
So option C is correct.
Learn more about the domain and range of the function:
brainly.com/question/2264373
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The complete question is
"The function f(x) = -(x + 5)(x+1) What is the range of the function?
all real numbers less than or equal to 4
all real numbers less than or equal to -3
all real numbers greater than or equal to 4
all real numbers greater than or equal to -3"
