Question

The graph of the function f(x)= -(x+3)(x-1) is shown below. What is true about the domain and range of the function?

The domain is all real numbers less than or equal to 4,
and the range is all real numbers such that -35xs1.
The domain is all real numbers such that -35xs1, and
the range is all real numbers less than or equal to 4.
O The domain is all real numbers, and the range is all real
numbers less than or equal to 4.
O The domain is all real numbers less than or equal to 4,
and the range is all real numbers.

Answer 1

The domain is all real numbers, and the range is all real

numbers less than or equal to 4.

Explanation:

The domain of a function f(x) is the set of all values for which the function is defined

We are given
`f(x)= -(x+3)(x-1)`

f(x) is defined for all real values of x since there are no restrictions on the value of x

So,The domain of the function is all real numbers

Range of the function is the set of all values that f takes.

So, Range of given function is all real numbers less than or equal to 4.

Hence The domain is all real numbers, and the range is all real numbers less than or equal to 4.