Determine If Each Of The Following Are Function Or Not., 1.)Y=X^2+1, 2.)Y^2=X+1

Determine if each of the following are function or not.

1.)y=x^2+1
2.)y^2=x+1

 

Answer:

Step-by-step explanation:

A function is a relation where the first element (x) in a ordered pair is not repeated.

1.) FUNCTION  

y = x² + 1 is a quadratic function

Example:

x = 2

y = (2)² + 1

y = 5

(x,y) = (2,5)

x = 3

y = (3)² + 1

y = 10

(x, y) =(3,10)

The ordered pairs are (2,5) and (3, 10).

2) NOT a function

y² = x+1

For every x, there are two values of y. It means that an x-coordinate has two correspondence y.  The ordered pair are (x, y₁) and (x, y₂) where x-coordinate or first element of the ordered pair is repeated.

Example:

x = 2

y² = 2+1

√(y²) = ±√3

y = +√3 and y = -√3

The ordered pair: (2, -√3) and (2, +√3).