Exponential Functions Review

Compare characteristics of two functions.

The graph of the exponential function f(x) = 4(0.5)^x + 2 is shown.

Which function has the same end behavior for large, positive, values of x?

• g(x) = 4(1.1)^x + 3

• g(x) = 0.5(1.1)^x + 2

• g(x) = 4(0.8)^x + 3

• g(x) = 0.5(0.8)^x + 2

Tags

A.FGR.9

Which function is modeled in this table?

Tags

A.FGR.9.5

The value of a stock share that John initially purchased for $3,000 is increasing exponentially. The value of the stocks in the first two years John owned them shows an annual exponential increase of 11.2%.
Write the equation to represent the situation.

Mathematical Equivalence

ON

Tags

A.PAR.8

Exponential function f(x) has a y-intercept of 3 and an x-intercept of -2. The function is always increasing as the value of x increases, but the function never reaches y = 4.

Graph the graph that represents f(x), and move it to the correct location on the coordinate grid. The dashed line can be used to help you answer he question.

Tags

A.FGR.9

The cost of a newsletter subscription is $20 per year. The cost is expected to increase 10% each year. Which expression can be used to find the cost n years from now? What will the expected cost be at the end of 3 years?

Tags

A.PAR.8.2

Last month, Maria purchased a new cell phone for $500. The store manager told her that her new cell phone would depreciate by 70% every 6 months. Maria thinks she will want to replace her phone after a while. What will be the value (V) of her phone if she tries to trade it in after 2 years? Select ALL that apply.

Groups:

(a) Does Apply

,

(b) Does NOT Apply

The value of a stock share that John initially purchased for $3,000 is increasing exponentially. The value of the stocks in the first two years John owned them shows anannual exponential increase of 11.2%.

Move each part of the equation next to the term that BEST describes what it represents. Not all parts of the equation will be used.

initial desposit: ​ (a)   growth factor:​ (b)   interest rate:​ (c)  

• 3,000
• (1 + 0.112)
• 0.112
• 300
• (1 + 11.2)
• 11.2

Tags

A.PAR.8.1

• Decay Factor

• Growth Factor

• Initial Amount

Tags

CCSS.HSF-IF.C.8B

The number of bunnies are multiplying. The increase in the bunny population is an example of which graph?

• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

The graph is an example of

• Exponential Growth

• Exponential Decay

• A linear function

Tags

CCSS.HSF-LE.A.1A