Question

Consider the graphed function.

What are the domain and the range of this function?

Answer 1

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step

What does this problem want to find:

 ⇒ domain and range

Let's find domain

 ⇒ distance covered by graph horizontally

     ⇒ [-5, 1)  

Let's find range

  ⇒ distance covered by graph vertically

      ⇒ [-4, 7)

*note

• use parentheses when endpoint is hollow

            ⇒ those points are not included in domain and range

• use brackets when the endpoint is filled

             ⇒ those points are included in domain and range

Answer:

• Domain: [-5, 1)  
• Range:  [-4, 7)

Hope that helps!

#LearnwithBrainly

Answer 2

${\qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

Domain of the function are the real values at which the function is defined, or has a unique value. generally domain is represented by the values that x - coordinate can take according to graph.

So, domain of given function is :

• [ -5, 1 )

here,

• [ ] represents closed interval - that means it can have the extreme values too.

• ( ) represents open interval - that means it can have values between extremes but not extreme value.

Similarly, range represents all the values that the function can have, and it is represented by the values that y - coordinate can have.

So, range of given function is :

• [ -4, 7 )