Question

In the function f(x) = a(x + 2)(x-3)^b, a and b are both

Answer 1

Using limits, considering the end behavior of the function f(x), it is found that the correct statement is given as follows:

D. a is positive, and b is odd.

What is the end behavior of a function?

It is given by it's limits as x goes to negative and positive infinity.

In this problem, we have that, considering the end behavior:

• $\lim_{x \rightarrow \infty} = \infty \rightarrow ax^{b + 1} = \infty$

• $\lim_{x \rightarrow -\infty} = \infty \rightarrow ax^{b + 1} = \infty$

This will only be true if a is positive and b is odd, hence option D is correct.

More can be learned about the end behavior of a function at brainly.com/question/27851082

#SPJ1