4/29 Warm Up: Applications of Exponential Functions

What does this graph represent?

• Exponential Growth

• Exponential Decay

What does the graph represent?

• Exponential Growth

• Exponential Decay

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.
• The amount of grams the material is losing.
• The amount of grams remaining after so many years.
• The initial amount of grams.

• The graph represents an exponential growth situation.
• Eventually, the car will be worth exactly $0.
• The starting value of the car was $12,000.
• The range for the situation is y ≥ 0.

Given the function y = 3^x - 4, what is the domain?

• all numbers less than 3

• all numbers less than 4

• all real numbers

• all numbers greater than 3

Given the function y = 3^x - 4, what is the range?

• y > -4

• y < -4

• y > 4

• y < 4

Given the function y = 3^x - 4, what is the asymptote?

• y = 4

• y = 0

• y = 3

• y = -4

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08
• ^1.08
• .92
• 8