Exponential Function Recursive and Explicit Formulas

What type of function is f(x)=2(3)^x ?

• Quadratic

• Linear

• Exponential Growth

• Exponential Decay

• a linear function

• an exponential function

• a quadratic function

Find the recursive and explicit formulas

• f(x)= 3 f(x-1) , f(1) = 1

• f(x)=f(x-1) + 3 , f(0) = 1/3

Is it linear, quadratic, or exponential?

• Linear

• Quadratic

• Exponential Growth

• Exponential Decay

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The recursive equation for this function is

• f(1) = 3

• f(0) = 3

  f(n) = f(n - 1)  * 4

• f(0) = 4

  f(n) = f(n - 1)  * 3

• f(1) = 3
  f(n) = f(n - 1)  + 9

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; (0, 1⁄3)

• y = 1⁄3 (3)^x ; (0, 3)

• y = 3 (1/3)^x ; (0, 1⁄3)

• y = 3 (1/3)^x ; (0,3)

Find the first four terms of the sequence.

• 12, 48, 192, 768

• 12, 144, 1728, 20736

• 12, 24, 36, 48

• 3, 12, 48, 192

Does this recursive routine model an increase or decrease?

• Decrease

• Increase

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11x2

• a_n = 11(2)^n-1

• a_n+1 = a_{n *} 2;  a₁ = 11