Finding the domain and range of a graph
determine the domain and range for the graph below. write your answer in interval notation and in set builder form using a compound inequality.
domain written in interval notation:
range written in interval notation:
domain written in set builder form
use a compound inequality:
{x| }
range written in set builder form
use a compound inequality:
{y| }

Step-by-step explanation:

By looking at the graph I notice an open circle at (-4, -5) which means the function is not evaluable at -4, this restricts the domain.

The Domain of a function represents the set of values for which the function has an output.

The Range of a function is the set containing all the possible values associated with all input.

Domain in interval notation: (-4, 3]. The parenthesis denotes that the interval does not contain the extreme point -4. The brackets are the opposite.

Domain in set builder notation:

Range in interval notation: (-5, -3]

Range in set builder notation:  

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

29 mil

step-by-step explanation: