Rate of Exponential Functions

What is the average rate of change between when x = -1 and x = 0?

• -2

• 2

• 1/2

• -1/2

What is the average rate of change over the interval [0,3]?

• 21

• -21

• 1/21

• -1/21

Iris founded a new town, Iristown. The population of Iristown after x years can be modeled by the function p(x) = 1500(1.1)^x. On average, how fast is the population increasing between years 0 and 10?

• 212.12 people/year

• 251.11 people/year

• 239.06 people/year

• 391.29 people/year

What is the average rate of change of y = 2(3)^x at [2, 4]?

• 72

• 3

• 36.8

• 630

Find the average rate of change over the given interval [-1, 1].

• 3

• 1.5

• 1

• 0.67

Find the average rate of change over the given interval [0, 3].

• 4

• 7

• 7/3

• 3/7

What is the average rate of change of the graph over the interval [-2,0]?

• -3/2

• 2/3

• 3/2

• -2/3

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 0 to day 5.

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived. Calculate the average rate of change from day 15 to day 20.

• -38 decks per day

• 38 decks per day

• -0.03 decks per day

• 0.03 decks per day

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.

• The amount of grams the material is losing.

• The amount of grams remaining after so many years.

• The initial amount of grams.