7.1-7.2 Quiz: Exponential Growth and Decay

Given  $f\left(x\right)=2^{\left(x-3\right)}+2$  List the transformations needed to find the starting point.

• Right 3 Up 2

• Left 3 Up 2

• Right 2 Up 3
  

• Vertical Stretch by 2, Right 3

Given:  $f\left(x\right)=3\circ4^x+2$  what is the location of the starting point and what is the additional point needed to graph this equation?

• (0,2) and ( 1,14)
  

• (0,5) and (1,9)
  

• (0,5) and (1,14)

• (0,4) and (1,14)

Given:  $f\left(x\right)=-2\circ3^{\left(x+4\right)}-5$  what is the horizontal asymptote?

• x = -2

• y = -2

• y = -5

• x = -2 

• y = 3

Given:  $y=3^{\left(-x+2\right)}-4$  What is the starting point?

• (2,-3)

• (-2,3)

• (2,-1)

• (-2,-5)

Given:  $f\left(x\right)=3^x-2$  what is the domain and range of the function?

• D: all real #'s
  R:  $\left(-2,\infty\right)$  

• D:   $\left(-2,\infty\right)$  
  R: all real #'s

• D: all real #'s
  R: all real #'s
  

• D: all real #'s
  R:  $\left(2,\infty\right)$  

A rare coin is purchased in 1980 for $5.30, it will begin to increase in value each year by 7% per year. What is the value of the coin in the year 2020?

• $79.36

• $8,754,527,771

• $.29

• $37.19

You put $12500 in a bank account that pays 4.5% interest compounded quarterly. If you leave the money in the bank for 15 years, what is the value of the account after 15 years?

• $24458.06

• $24191.03

• $24535.52

• $24519.44

The account balance for an account is $7375.39, this account pays 3.5% interest compounded monthly and the money was in the account for 10 years. What was the initial principal?

• $5200

• $10460.85

• $3686.38

• $4500

A Ford F150 was purchased for $44300 in 2005. Research shows that this type of vehicle loses value at the rate of about 8% per year. What would be the current value of the vehicle ? The year is 2020.

• $5537.50

• $140527.09

• $18500

• $12682.98

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?

• f(x) = 12000(1 + 14.9)^x
• f(x) = 12000(1 - 14.9)^x
• f(x) = 12000(1 + 0.149)^x
• f(x) = 12000(1 - 0.149)^x

Tags

CCSS.HSF.LE.A.2