Linear and Exponential Equations

What function best models the data in the table?

• Linear

• Exponential

• Quadratic

The explicit equation for the function is:

• f(x) = 3x + 2

• f(x) = 3x -1

• f(x) = 3x + 5

• f(x) = 5x + 3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The recursive equation for the function is:

• f(0) = 5

  f(x) = f(x - 1) * 3

• f(0) = 5

  f(x) = f(x - 1) + 3

• f(-1) = 2

  f(x) = f(x - 1) + 5

• f(1) = 8

  f(x) = f(x - 1) + 5

Tags

CCSS.HSF.IF.A.3

What type of function is represented in the table?

• Linear

• Exponential

• Quadratic

The explicit equation for this table is

• f(n) = 4n - 1

• f(n) = 4ⁿ

• f(x) = 3ⁿ

• f(x) = 3(4)^{n - 1}

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.IF.A.3

What function model best represents the data in the table?

• Linear

• Exponential

• Quadratic

The explicit equation for the function is:

• f(x) = 5x + 5

• f(x) = 5(2)^{x - 1}

• f(x) = 10(2)^{x - 1}

• f(x) = 2^x

Tags

CCSS.HSF.LE.A.2

The recursive equation for the function is:

• f(1) = 10

  f(x) = f(x - 1) * 2

• f(0) = 5

  f(x) = f(x - 1) + 5

• f(0) = 5

  f(x) = f(x - 1) * 2.5

• f(0) = 2.5

  f(x) = f(x - 1) * 2

Tags

CCSS.HSF.IF.A.3

What function best models the data in the table?

• Linear

• Exponential

• Quadratic