Exponential Algebra

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Simplify the exponential expression.

• 2x⁶y¹²

• 2x⁵y⁷

• 8x⁶y¹²

• 8x⁵y⁷

Which is an exponential function?

• y = mx + b

• y - y₁ = m(x - x₁)

• y = ab^x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

An exponential function is graphed on the grid.

• g(x) = 6(1/3)^x

• g(x) = 6(3)^x

• g(x) = 6 − (1/3)^x

• g(x) = 6 − (3)^x

The table contains some points on a graph of an exponential function. Based on the table, which function represents the same relationship?

• f(x) = 3(4)^x

• f(x) = 2(4x)

• f(x) = 4(.02)^x

• f(x) = 2(4)^x

Which function represents the same relationship?

• f(x) = 15(5/6)^x

• f(x) = 18(6/5)^x

• f(x) = 15(6/5)^x

• f(x) = 18(5/6)^x

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

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

• y = 3(4)^x

• y = 3x + 4

• y = sqrt(3)

• y = 4x + 3

Is the pictured graph exponential growth, exponential decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None of the above