Question

Graph the function, identify if it represents exponential growth or decay, and identify domain and range. See picture

Answer 1

Answer:

a. Decay

b. 0.5

c. 4

Explanation:

If we have a function of the form

$y=ab^x$

then

a = intital amount

b = growth / decay rate factor

x = time interval

If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.

Now in our case, we have

$y=4(\frac{1}{2})^x$

Here we see that

inital amount = a = 4

b = 1/ 2 < 0, meaning the function is modeling decay

decay factor = b = 1/2

Therefore, the answers are

a. Decay

b. 0.5

c. 4