Exponential: Evaluate Functions & Average Rate of Change

Multiple Choice

Evaluate the function for the given value:

f (x) = 5^x for f(4)

• 20

• 625

• 125

• 25

Multiple Choice

Evaluate the function for the given value:

h(t) = 3 • 4^t for h(-3)

• $$\frac{3}{64}$$

• 192

• -36

• $$-\frac{3}{64}$$

Multiple Choice

Evaluate the function for the given value:

$$y=8\cdot0.7^x$$  for x = 3

• 2.744

• 175,616

• 16.8

• 432,8

Multiple Choice

A population of amoebas in a petri dish will triple in size every 20 minutes. At the start of an experiment the population is 800. Write a function to model this relationship with y representing the total population, and x as the number of 20 minute periods.

• $$y=800\left(3\right)^x$$

• $$y=3\left(800\right)^x$$

• $$y=800\left(20\right)^x$$

• $$y=20\left(3\right)^x$$

Multiple Choice

An investment of $8000 in a certain Certificate of Deposit (CD) doubles in value every seven years. The function that models the growth of this investment is f (x) = 8000(2)^x, where x is the number of 7 year periods. If the investor does not withdraw any money from this CD, how much money will be available for withdrawal after 28 years?

• $128,000

• $1,024,000

• $2,147,483,648,000

• $112,000

Multiple Choice

Find the average rate of change over the given interval. 

• 4
• 7
• 7/3
• 3/7

Multiple Choice

Determine the slope.

• m=3/2
• m=6
• m=-3/2
• m=1/6

Multiple Choice

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.

• $$\frac{1283-2000}{5\ -\ 0}=-143.4$$

• $$\frac{2000-1283}{5\ -\ 0}=\ 143.4$$

• $$\frac{5-0}{1283-2000}=-0.007$$

• $$\frac{5-0}{2000-1283}=0.007$$

Multiple Choice

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

• -2

• 2

• 1/2

• -1/2

Multiple Choice

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 5 to day 15.

• The store lost 75.5 popular trading cards each day.

• The store gained 75.5 popular trading cards each day.
  

• The store lost 75.5 popular trading cards each year.
  

• The store lost 0.013 popular trading cards each day.