Respuesta :
Answer:
option b: square root
Step-by-step explanation:
just got correct on edge 2020
The family of the function belongs to square root.
We can solve this by understanding some types of functions
What is Function?
This is an expression that relates two variable to one another.
In this question, we are looking for the family of the equation.
The function given is
[tex]y = (x + 2)^\frac{1}{2} + 3[/tex]
The options given here are
- quadratic
- square root
- exponential
- reciprocal
What is a quadratic equation?
This is a polynomial that the variable have the highest power of 2. An example of this is [tex]y = ax^2 + bx + c[/tex]
What is a square root
This a function in which the variable is a square root to the main function.
An example of this is [tex]y = \sqrt{x}[/tex]
What is an Exponential Function
This is a function in which one of the variable has an exponential function to the other. An example of this is [tex]y = 2e^x[/tex]
What is a Reciprocal Function
This is a function in which one of the variable is inverse to the other one. An example of this is [tex]y = \frac{1}{x}[/tex]
From the above explanation, we can see that the function
[tex]y = (x + 2)^\frac{1}{2} +3\\y = \sqrt{x+2} + 3[/tex]
is a square root function
Learn more on functions here;
https://brainly.com/question/15602982