Answer:
The solution is
Step-by-step explanation:
From the question we are told that
The function is , -1 < x < 1 a = 4
Here we are told find
Let equate
So
For the equation above to be valid x must be equal to 0
Now when x = 0
=>
=>
Differentiating f(x)
Now
since
We have
Now
Answer:
Domain of f(x): All real numbers
Range of f(x): ---> [0, ∞)
The graph is over the interval (0, ∞)
Step-by-step explanation:
The function absolute value of x that is written: f(x) = | x | assigns only positive values to f(x) at any value of x.
For example, if for f(x) = | x | we make
f(-23) = | -23 | then the absolute value of x "transforms" the number -23 to +23.
Then f(-23) = | -23 | = 23
This means that f(x) will be positive for any value of x.
Therefore, we can conclude that:
Domain of f(x): All real numbers
Range of f(x): ---> [0, ∞)
The graph is over the interval (0, ∞)