Answer:
The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4
Step-by-step explanation:
The function is given to be :
f(x) = -(x + 3)(x - 1)
Domain : It is defined as a set of all points for which the function is real and defined.
Now, The given function f(x) is a polynomial function and is real and defined for all the real numbers. So, The domain of the given function f(x) is given by :
Domain : All real numbers
Range : It is defined as a set of all values of dependent variable for which the function is defined.
Now, To find range of the given function :
As seen from the graph, the maximum value of the function is at (-1,4)
So, The range consists of all the values less than or equal to 4
⇒ Range : All real numbers less than or equal to 4
Thus, The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4
