Exponential Functions, Half-Life and Compound Interest

• exponential growth

• exponential decay

• Half-Life

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

What type of function is provided?

• Exponential Growth

• Exponential Decay

• Compound Interest

Johnny Frugal deposits $15,000 at the local bank. The bank offers 8% annual interest. How much will have he have after 6 years assuming all interest is reinvested (compound interest comes into play!)?

• $22,200

• $20, 241.21

• $24, 231.21

• $24, 241.21

What is the equation that best represents the graph?

• y=2^y

• y=2^x

• y=2^-x

• y=x²

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 to the right 1 unit

• Horizontal shift to the left one unit

• Vertical shift one unit up

• Vertical shift one unit down

Using y=3^x as the parent function, what will y=3^-x look like?

• Reflection on the x axis?

• Reflection on the line y=x

• Reflection on the y axis

• Reflection on y=0

A particular radioactive element has a half life of 25 years. For an initial mass of 10 grams, the mass y in grams after t years is given by
y=10(1/2)^t/25 where t>0
How much does the mass remains after 120 years?

• .682

• .25

• .5

• .359