Average Rate of Change of Exponential Function

Find the average rate of change over the given interval. 

• 4

• 7

• 7/3

• 3/7

Which type of function has a Rate of Change that will vary but always be positive or negative?

• Linear

• Exponential

• Quadratic

• none of these

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 between x = 1 and x = 2?

• 9

• 10

• 11

• 12

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. Interpret average rate of change from day 0 to day 5.

• The store lost 143.3 popular trading cards each day.

• The store gained 143.3 popular trading cards each day.
  

• The store lost 143.3 popular trading cards each year.
  

• The store lost 0.007 popular trading cards each day.
  

What type of pattern do exponential functions have?

• Adds by the same number every time

• Multiplies by the same number every time

• Square roots all the inputs

• Squares all the inputs

Is the graph linear, exponential, or neither?

• Linear

• Exponential

• Neither