Question

Given the graph of the function shown below.

Which of the following options best represents the range of the function?

(-∞, ∞)[-1, ∞)(-∞, -1](-∞, 1]

Answer 1

it's should be [-1 , infinity )

Answer 2

The options which best represents the range of the function is:

[-1,∞)

Explanation:

Domain of a function--

The domain of a function is the set of all the possible x -values of a function for which the function is defined.

and Range of a function--

Is the set of all the values which are attained by a function in it's domain.

By looking at the graph of a function we see that the function is defined for all the real values and in this domain the function attains a minimum values as -1.

The function is first strictly decreasing in the interval (-∞,1)

and then it is strictly increasing in the interval (1,∞).

Hence, the function receives all the value greater than or equal to -1.

i.e. The range of the function is: [-1,∞)