Determine whether the following function is continuous at x = a using the continuity checklist to justify your answers. g(x) = {x^2 - 16 if x notequalto 4/;a = 4 x - 4 if x = 4 9 Use the Intermediate Value Theorem to show that the equation x^5 + 7x + 5 = 0 has a solution in the interval (-1, 0). Find a solution to x^5 + 7x + 5 = 0 in (-1, 0) using a squareroot finder.

242 students

Step-by-step explanation:

We are given that initially there were 2 members.

Each member invites three new members the second week of school. Each of these new members then invites three additional members the following week.

Now We are supposed to find how many members will be in the club after five weeks

Exponential function

where a is the initial amount

b is the rate

So, a = 2

b = 3 = rate

So, A.T.Q

We will start from week 0 to week 5

Hence there will be 242 students after 5 weeks.