Geometric Function to Exponential Equation

Sequence with a constant ratio between consecutive terms.

• 1. Common Ratio

• 1. Logarithm Base b

• 1. Growth/Decay Factor

• 1. Geometric Sequence

• 1. Natural Base

Tags

CCSS.HSF.BF.A.2

Which function represents the geometric sequence: 64, -32, 16, -8, …

• A_n = 64(1/2)^n-1

• A_n = 64(-2)^n-1

• A_n = 64(-1/2)^n-1

• A_n = 64(2)^n-1

Tags

CCSS.HSF.BF.A.2

Which of the equations below represents this table of values?

• y = 3(36)^x

• y = 36(3)^x

• y = 3(⅓)^x

• y = 36(⅓)^x

Tags

CCSS.HSF.LE.A.2

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

• y = 1⁄3 (3)^x ; a = 1⁄3

• y = 1⁄3 (3)^x ; a = 3

• y = 3 (1/3)^x ; a = 1⁄3

• y = 3 (1/3)^x ; a = 3

Tags

CCSS.HSF.LE.A.2

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Tags

CCSS.HSF-IF.C.7E

Which of the following statements are true? Select ALL that apply!

• The range for both graphs is [0, infinity)

• The initial value for both graphs is approximately 9 Million.

• The domain for both graphs is [0, infinity)

• The domain for both graphs is [9, infinity)

• The range for both graphs is [9, infinity)

Tags

CCSS.HSF-IF.C.7E

What is the equation that models this graph?

• y = 2(3)^x

• y = 3(2)^x

• y = 3(½)^x

• y =½(3)^x

Tags

CCSS.HSF.LE.A.2

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

• f(h) = 3(6)^h

• f(h) = 6(1.3)^h

• f(h) = 6(3)^h

• f(h) = 6(1.03)^h

Tags

CCSS.HSF.LE.A.2

Write an exponential equation that represents the table shown above.

Tags

CCSS.HSF.LE.A.2

Determine if the table represents a linear function or an exponential function. Explain.

• Exponential. As x increases by 1, y is multiplied by 1/2.

• Exponential. As x increases by 1, y is multiplied by 2.

• Linear. As x increases by 1, y decreases by 4.

• Linear. As x increases by 1, y values are decreased by 1/2.

Tags

CCSS.8.F.A.3