Question

Compare the behavior of exponential functions to the limits of their situations.

Answer 1

see below:

Explanation:

What is the behavior of exponential functions?

For exponential functions, we see that the end behavior tends to infinity really fast. The larger the growth factor, which is the base of the exponential function, the quicker we get to infinity.

The limit of an exponential function is equal to the limit of the exponent with same base. It is called the limit rule of an exponential function.

for a comparison lets look at the exponentila function y=
`x^(4)`

the graph of this would look very similar an x squared parabola and would of course be increasing at an exponential rate

the limit would be equal to infinity

`\lim_(x \to \infty) x^(4)` since the limit is equal to the limit of the exponent we would simply get x to the power of infinity which is infinity

hope this helps! if there is a specific comparison you need comment on this