Analyze the end behavior of both functions.
1 answer:
Answer:
The end behaviour of all the functions is same ie they all tend to zero.
Step-by-step explanation:
In every option the function f(x)is a linear function which tends to infinity at the end(as x tends to infinity).Now the function g(x)in every option is just the reciprocal of f(x).As we all know
∞
then
You might be interested in
Answer:
See proof below.
Step-by-step explanation:
True
For this case we need to use the following theorem "If are eigenvectors of an nxn matrix A and the associated eigenvalues
are distinct, then
are linearly independent". Now we can proof the statement like this:
Proof
Let A a nxn matrix and we can assume that A has n distinct real eingenvalues let's say
From definition of eigenvector for each one needs to have associated an eigenvector
for
And using the theorem from before , the n eigenvectors are linearly independent since the
are distinct so then we ensure that A is diagonalizable.