Exponential Functions and Geometric Sequence

Which of the equations below represent this table of values?

• y = 3(36)^x

• y = 36(3)^x

• y = 3(⅓)^x

• y = 36(⅓)^x

Is this exponential growth or decay?

• Growth, the common ratio is between 0 and 1.

• Decay, the common ratio is between 0 and 1.

• Growth, the common ratio is greater than 1.

• Decay, the common ratio is greater than 1.

The relationship between time and population is ________________.

• Exponential growth

• Exponential decay

• Linear, and increasing

• Linear, and decreasing

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

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Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Graph

• A

• B

• C

• D

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

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)

Is this equation exponential growth, decay, or neither?

• Exponential Growth

• Exponential Decay

• Neither