Linear, Exponential, and Quadratic Equations

The recursive equation for this function is

• f(1) = 3

  f(n) = f(n - 1) * 4

• 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

Given the table, determine the equation of the function. 

• y = 4(4)^x

• y = 4(¼)^x

• y = 4(x-0)² + 4

• y = 2(x-1)² + 16

Given the table, determine the equation of the function. 

• y = 4x + 1

• y = 1x + 4

• y = -4x + 1

• y = -1x + 4

Given the table, determine the equation of the function. 

• y = 2(½)^x

• y = 2x + 3

• y = -3x + 2

• y = 3(2)^x

Which statement is true based on the data in the table?

• f(x) is an exponential function

• g(x) is a linear function

• The y-intercept of g(x) is 10

• The slope of f(x) is 3

A(n) _________________ function will ADD the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above

A(n) _________________ function will MULTIPLY the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

Write the function rule to represent the table.

• y = 7x + 3

• y = 3(7)^x

• y = 7(3)x ^{- 1}

• Not a function

Which of the following statements is true about the functions f(x) and g(x)?

• The y-intercept of the function f(x) is less than the y-intercept of the function g(x).

• The y-intercept of the function f(x) is greater than the y-intercept of the function g(x).

• The y-intercept of the function f(x) is equal to than the y-intercept of the function g(x).

• The y-intercepts cannot be determined.