The Relationship between Input and Output in a Mathematical Function | Exploring the Expression y = (±√x – 1)/4

y= +-√x-1 / 4

This is a mathematical expression that describes a function

This is a mathematical expression that describes a function. Let’s break down each component of the expression:

1. “y” is the dependent variable, which represents the output or value of the function for a given input.

2. “=” denotes that the expression on the right side of the equation is equal to the left side. In this case, the function is being defined.

3. “+-” indicates that there are two possible solutions for the function, one positive and one negative.

4. “√x” represents the square root of the input variable “x”. The square root of a number is a value that, when multiplied by itself, results in the original number. For instance, √9 = 3, because 3 x 3 = 9.

5. “-1” signifies that we subtract 1 from the value inside the square root.

6. “/4” means that we divide the whole expression by 4.

Putting it all together, the expression describes a function where the output “y” is equal to the positive and negative square roots of “x” minus 1, divided by 4. This expression represents a curve in a graph, where the value of “x” determines the corresponding value of “y”.

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