Question

All of the functions shown below are either exponential growth or decay functions.

Answer 1

Answer:

Step-by-step explanation:

If an exponential function is in the form of y = a(b)ˣ,

a = Initial quantity

b = Growth factor

x = Duration

Condition for exponential growth → b > 1

Condition for exponential decay → 0 < b < 1

Now we ca apply this condition in the given functions,

1). $y=3.2(1+0.45)^{2x}$

   Here, (1 + 0.45) = 1.45 > 1

   Therefore, It's an exponential growth.

2). $y=(0.85)^{3x}$

    Here, (0.85) is between 0 and 1,

    Therefore, it's an exponential decay.

3). y = (1 - 0.03)ˣ + 4

    Here, (1 - 0.03) = 0.97

    And 0 < 0.97 < 1

    Therefore, It's an exponential decay.

4). y = 0.5(1.2)ˣ + 2

    Here, 1.2 > 1

    Therefore, it's an exponential growth.