Respuesta :

Answer:

B. The total amount of tweets...

E. NCAA basketball tournament

F. Butterfly population doubles each month

An exponential function is a function that grows exponentially.

Exponential functions have a multiplicative rate of change. This means each term can be multiplied by a specific number to get to the next.

Example of an exponential function:

1, 2, 4, 8, 16, 32, 64, 128, 256...

Knowing this, let's look at each example.

A.

The rocket grows at a rate of 45 m/s, but then goes back down. This is not an exponential function. This is most likely a quadratic function.

B.

Each term is being multiplied by 4. This is correct.

C.

This is too vague. We cannot determine what this is.

D.

This is a linear function. It has an additive rate of change; not a multiplicative one. This is wrong.

E.

Each term is 50% of the previous one. This is correct.

F.

The population is multiplied by 2 each month. This is correct.

Answer:

2, 5, 6

(tweets, basketball, butterfly)

Step-by-step explanation:

Rocket:  Quadratic function

Tweets: Exponential function  (quadruples each time)

Water Park:  Quadratic function (or absolute function)

Savings: Linear function (if simple interest)

**compound interest is exponential, but as it stops earning interest after the first year, it is not continually exponential**

Basketball:  Exponential function  (halves each round)

Butterfly:  Exponential function  (doubles each month)