Precalculus Exponential and Logarithmic Review

What is the domain of f(x) = 3^x + 2 ?

• (-∞, ∞)
• (2, ∞)
• (-∞, 3)
• [2, ∞)

What is the range of f(x) = 3^x + 2 ?

• (-∞, ∞)
• (2, ∞)
• (-∞, 3)
• [2, ∞)

Travis earned some money doing odd jobs last summer and put it in a saving account that earns 15% interest compounded continuously. After 8 years, there is $600 in the account. How much did Travis earn doing odd jobs?

• $180.27
• $180.72
• $1992.07
• $1992.70

Martha opened a saving account and deposited $300.00 as principal. The account earns 13% interest, compounded semi-annually. What is the balance after 8 years?

• $109.53
• $834.84
• $797.53
• $821.70

First National Bank advertises and IRA investment plan which guarantees a $5000 maturity value on a $620.17 deposit for a 20 year term.  Assuming continuous compounding, what annual rate of interest did they offer?

• 12.1%
• 8.3%
• 5.3%
• 10.4%

Reacting with water in an acidic solution at 35⁰C sucrose decomposes into glucose and fructose according to the law of uninhibited decay. An initial amount of 0.4 mole of sucrose decomposes to 0.36 mole in 30 minutes. How much sucrose will remain after 2 hours?

• 0.21 mole

• 0.26 mole

• 0.18 mole

• 0.32

The given model represents the proportion of new cars that have a GPS where t = 0 represents 2006, t = 1 is 2007, and so on. What proportion of new cars in 2006 had a GPS?

• 80%

• 30%

• 10%

• 0%

The given model represents the proportion of new cars that have a GPS where t = 0 represents 2006, t = 1 is 2007, and so on. What is the maximum proportion of new cars that can have GPS according to this model?

• 80%

• 30%

• 10%

• 100%

The given model represents the proportion of new cars that have a GPS where t = 0 represents 2006, t = 1 is 2007, and so on. What proportion of cars will have GPS in 2011?

• 46%

• 17%

• 80%

• 49%

The given model represents the proportion of new cars that have a GPS where t = 0 represents 2006, t = 1 is 2007, and so on. When will 75% of new cars have a GPS?

• 2016

• 2020

• 2026

• 2032