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

Graph the function, identify if it represents exponential growth or decay, and identify-example-1
User Chrisuae
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1 Answer

2 votes

Answer:

a. Decay

b. 0.5

c. 4

Step-by-step 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((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

User Prasinous
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7.5k points