Algebra Exponential

Which function represents the table of values?

• f(x) = 4x

• f(x) = x³

• f(x) = 4^x

• f(x) = 4^x-1

Which equation is represented by the table?

Which table represents the following equation?

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Which table represents the following equation?

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Pick the equation that is exponential growth

• y=2(0.5)^x

• y = 0.5(2)^x

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.

• The amount of grams the material is losing.

• The amount of grams remaining after so many years.

• The initial amount of grams.

The amount of ants in a colony, f, that is decaying can be modeled by                         f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose           f(20) = 49. Which of the following is true?

• After 20 days, there are 49 ants in the colony.

• After 49 days there are 20 ants in the colony.

• The amount of ants times 20 is 49.

• After 20 days the amount of ants remaining decreases by 49.

In an exponential function, what does the 'a' represent? 

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

What formula shows how to calculate the population of a 45,000 person town with 5% growth rate in 3 years?

• 45,000(1.05)⁶

• 45,000(0.05)

• 45,000(1.05)(3)

• 45,000(1.05)

• 45,000(1.05)³