Unit 3: Exponential Functions 10 20 30 40 50

  Category 1 - 10

  Category 1 - 20

 

What is the equation for the graph?

   

What vocabulary term is being described? An “invisible” boundary line that an exponential curve approaches, but never intersects.

What is the original price of the car?   What is the original price of the car? What is the percent of change?

A person takes a 200mg medication at 8:30AM A person takes a 200mg medication at 8:30AM. Every hour, 10% of the medication is eliminated from the body. How much medication would remain in the body at 1:30 PM? Identify whether the function is linear/exponential growth/decay. Then, define your variables and develop a function that can be used to answer the question in context.

Determine whether the following situation is linear or exponential. Explain your reasoning.

A baseball tournament reduces the number of teams per round by half each time. The first round has 64 teams. A.) Is this a linear or exponential situation? B.) Write a function that represents the situation. C.) How many teams remain at the 5th round?

 

B.) What was the original value of the house?   A.) What was the annual percentage rate of appreciation in price of the house? B.) What was the original value of the house? C.) What is the value of the house after 10 years?

Using the function below, determine the key components of the graph:   Growth or Decay? Y-Intercept: Domain: Range: Asymptote: y = _____ Reflection?

Determine and justify whether the following linear increase, linear decrease, exponential growth, or exponential decay.

 

What vocabulary term is being described? A sequence in which there is a common ratio among any two successive terms.

 

All exponential functions have a domain of all real numbers. True or False: All exponential functions have a domain of all real numbers.

A car is purchased for $32,000 in 2010. Unfortunately, the car depreciates In value by about 3.5% each year. How much would we expect the value of the car to be in 2020?

Provide an example of a situation that represents linear “decay”.

Describe what happens to the graph of an exponential function when the initial value (the “a” value) is negative.

True or False: As the base value of an exponential function increases, the angle of the curve becomes steeper.

y-intercept, domain and range? What is the asymptote, y-intercept, domain and range?

In the 2010 Census, Eldersburg’s population was 30,531. If the population started to decrease by about 0.75% each year, what would the population be in 2018?