Answer:
Domain: (-3,-2,0,1,2,3)
Range: (9,4,1,0,1,4,9)
Step-by-step explanation:
Answer:

2.835
3.330
Step-by-step explanation:

Let the linear approximation be L(x) at a = 0. This is given by

is the derivative of
. To find this, we use the form
If
, then 
By doing this and applying chain rule for the power (which is a function of x), we have

Then

Also 
Hence 
For
,
and 
Using this in
,

For
,
and 
Using this in
,

Answer:
The value of x must be greater than 100.
Step-by-step explanation:
We need to find the value x for which the value of log(x) is greater than than 2.

According to the property of logarithm, if a is a real number.

Using the above property of logarithm, the given inequality can be rewritten as


We conclude that the value of log(x) is greater than 2 for real values of x which are greater than 100.
Therefore, the value of x must be greater than 100.