y= square root of x
The graph of y = √x is a curve that starts at the origin (0,0) and extends to the right. The curve starts off slowly and gradually steepens as x increases. It approaches but never reaches the y-axis. As x approaches infinity, y also tends towards infinity. The graph is always positive, as the square root of a negative number is undefined.
To solve for y in the equation y = √x (square root of x), you can follow these steps:
Step 1: Start with the equation y = √x.
Step 2: To eliminate the square root, square both sides of the equation. The equation becomes y^2 = (√x)^2.
Step 3: Simplify the right side of the equation. (√x)^2 is equal to x.
Step 4: The equation becomes y^2 = x.
Step 5: To solve for y, take the square root of both sides of the equation. You will have two possible solutions, the positive square root and the negative square root.
Step 6: The final result is y = ±√x.
Therefore, the solution to the equation y = √x is y = ±√x.
The equation y = √x represents a square root function. The square root of a number x is a value that, when multiplied by itself, gives the original number x.
To find the value of y for a given x, you can follow these steps:
1. Substitute the value of x into the equation y = √x.
2. Calculate the square root (√) of x to determine the value of y.
For example, if x = 16, we can find the corresponding value of y:
y = √16
y = 4
So when x is 16, y is 4.