Question

What type of function is represented in each scenario? Fill in the blanks using exponential growth, exponential decay, increasing linear, or decreasing linear.

a. The number of foxes in a park doubles every year.

b. The number of players in a tournament goes down by half every round.

c. f(x)=7

a) Exponential growth, Decreasing linear, Constant

b) Exponential decay, Increasing linear, Constant

c) Exponential growth, Exponential decay, Constant

d) Increasing linear, Exponential decay, Constant

Answer 1

a. Exponential growth, b. Exponential decay, c. Constant

Step-by-step explanation:

a. The number of foxes in a park doubles every year. This is an example of exponential growth. As time progresses, the number of foxes increases at an exponentially increasing rate.

b. The number of players in a tournament goes down by half every round. This is an example of exponential decay. As the number of rounds increases, the number of players decreases at an exponentially decreasing rate.

c. f(x)=7. This is an example of a constant function. The value of f(x) is always 7, regardless of the input value.