Exponential Functions, Growth & Decay, Compound Interest

h(x) = (1/3)^x; h(–3)

• 27

• 9

• 1/27

• 1/9

Graph the function f(x) = 5^x and write the domain and range in interval notation.

• 
• 
• 
• 

Evaluate the function at the given value of x. Round to 4 decimal places if necessary.

f(x) = e^x; f(–2)

• 0.6931

• –5.4366

• 0.1353

• 6.5809

After taking a certain antibiotic, the amount of amoxicillin A(t), in milligrams, remaining in the patient's system t hr after taking 1000 mg of amoxicillin is A(t) = 1000e^–0.49t.

How much amoxicillin is in the patient's system 3 hours after taking the medication? Round to the nearest tenth of a mg.

• 361.0 mg

• 689.8 mg

• 33.9 mg

• 229.9 mg

A veterinarian depreciates a $10,000 X-ray machine. He estimates that the resale value V(t) (in $) after t years is 90% of its value from the previous year. Therefore, the resale value can be approximated by V(t) = 10,000(0.9)^t.

a. Find the resale value after 3 years.

b. If the veterinarian wants to sell his practice 10 years after the X-ray machine was purchased, how much is the machine worth? Round to the nearest $100.

• a. $2710

  b. $6500

• a. $7290

  b. $3500

• a. $2710

  b. $3500

• a. $7290

  b. 6500

An employee receives a 4% raise once per year. If the employee's initial salary is $59,700.00, what will the employee's salary be after 10 years?

• $65,945.94

• $32,972.97

• $128,887.82

• $88,370.58

Jack invests $4, 886 in a retirement account with a fixed annual interest rate of 6% compounded continuously. What will the account balance be after 13 years?

• $10,658.67

• $12,017.62

• $11,149.27

• $11,317.77

Which of the following best represents the graph?

• y=2^x
• x=2^y
• y=x²
• y=2^-x

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: −∞<x<∞ Range: y>0

• Domain: −∞<x<∞ Range: y>1

• Domain: −2<x<∞ Range: y>0

• Domain: −∞<x<∞ Range: y<0

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit!
• Horizontal shift right one unit!
• Vertical shift up one unit!
• Vertical shift down one unit!