Respuesta :

Answer:

domain: [-4, ∞)

range: [-6, ∞)

Step-by-step explanation:

look at the graph. for domain, you want the x-values included in the interval. the endpoint at -4 means that the domain begins at -4. since the graph extends to positive infinity, then include that in domain with an parentheses not bracket since there's no endpoint.

for range, do the same thing but for y-values.

The domain and the range of a function are the possible x and y values it can take

  • The domain of the function is: [tex][-4, \infty)\\[/tex].
  • The range of the function is: [tex][-6,\infty)[/tex]

The domain

From the graph, the x-value starts at x = -4, and it continues to the right.

The dot at x = -4, means that -4 is inclusive of the x values.

The arrow at the other end means that, the value increases to infinity.

So, the domain of the function is: [tex][-4, \infty)\\[/tex]

The range

From the graph, the y-value starts at y = -6, and the curve open upwards

The arrow at the other end means that, the value increases to infinity.

So, the range of the function is: [tex][-6,\infty)[/tex]

Read more about domains and ranges at:

https://brainly.com/question/1632425