Question

What is the range of the function on the graph?

a. all real numbers
b. all real numbers greater than or equal to 0
c. all real numbers greater than or equal to 1
d. all real numbers greater than or equal to 2

Answer 1

the answer is D. all real numbers greater than or equal to 2.

Explanation:

looking at the graph, half of a parabola is curved upwards, and will never stop going up. looking at (1, 2), the dot (instead of circle) indicates the range is greater than or equal to itself, which is 2.

Answer 2

Option: d is the correct answer.

d. all real numbers greater than or equal to 2

Explanation:

Domain of a function--

The domain of the function is the set or collection of all the x-values for which the function is well defined.

Range of a function--

The range of a function is the set of all the values which are attained by a function in it's defined domain.

By looking at the graph we observe that the function is continuously increasing and the function takes all the real values greater than as well as equal to 2( since there is a closed circle at (1,2) )

Hence, the range is: [2,∞)