Question

# The range of the function

Hint:

### Here we have to find the range of f(x)= . Just solve the function and find the solution then find the range for the function.

## The correct answer is:

### Here we have to find that the range of

f (x) =

=

=

=

The maximum value of f (x) is 1,

when (x – 2) = 0.

So, we can write Fmax= 1

Now,

It is minimum when,

(x – 2)2 = 1

(x – 2) = ± 1 [ since, x = √a^{2}, then x = ± a]

At, positive, x -2 = 1 => x = 3

And at negative, x -2 = -1 => x = 1,

Therefore, x = 3, x = 1

So, Minimum = – 1 = 0

Therefore, the Range = [0, 1].

In this question, we have to find the range of f(x)=. Here solve the function and find when function is at maximum and minimum.

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Differentiation is the process of determining a function's derivative. The derivative is the rate at which x changes in relation to y when x and y are two variables. A constant function has zero derivatives. For instance, f'(x) = 0 if f(x) = 8. So the derivative function is odd.

### If , then is

Differentiation is the process of determining a function's derivative. The derivative is the rate at which x changes in relation to y when x and y are two variables. A constant function has zero derivatives. For instance, f'(x) = 0 if f(x) = 8. So the derivative function is odd.