Question

Compare and contrast y=square root of x and f(x)=square root of x

Answer 1

Explanation:

Given are two functions

`y=√(x) :\\f(x) =√(x)`

We have to compare and contrast these two functions.

On comparing we have both are the same.

FIrst one is written as y = form while second function is written as function of x

Sometimes we use y and sometimes we use f(x) in practice.

In both the cases, x is the independent variable and normally marked on x axis and y or f(x) the dependent variable marked on vertical y axis.

Answer 2

For this case we have the following functions:
y = square root of x
f (x) = square root of x
Rewriting the functions we have:

`y = x ^ {(1/2)} f (x) = x ^ {(1/2)}`
We observed that:
The functions are exactly the same.
The difference is that when writing f (x) we know that the function depends on x.
When writing the letter y, we have two variables:
y: dependent variable.
x: independent variable.