To which family does the function y = (x + 2) Superscript one-half Baseline + 3 belong?
quadratic
square root
exponential
reciprocal

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Answer:

option b: square root

Step-by-step explanation:

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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