Linear Functions vs. Exponential

The population of a city is increasing by 2% each year. Is this an example of a linear or exponential function?

• linear

• exponential

The cost of a product increases by $5 every month. Is this an example of a linear or exponential function?

• linear

• exponential

The number of bacteria in a petri dish doubles every hour. Is this an example of a linear or exponential function?

• linear

• exponential

The value of a stock increases by $2 every day. Is this an example of a linear or exponential function?

• exponential

• linear

Which statement below describes the comparison of the linear function f(x) and the exponential function g(x)?

• The value of g(x) is always greater than the value of f(x).

• The value of g(x) is never greater than the value of f(x).

• The value of g(x) will eventually exceed the value of f(x).

• There is not enough information to compare the value of f(x) to the value of g(x).

Linear or Exponential?

• Linear

• Exponential

Function A is linear and starts with $1000 and increases by $100 each day y=100x+1000. Function B is exponential and begins with $20 but doubles each day y = 20(2)^x. On which interval (domain) does Function B exceed Function A?

• (0,1635.34)

• (0,6.353)

Is the function linear or exponential?

• linear

• exponential

Linear or Exponential?

• Linear

• Exponential

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?