Graphing and Solving Exponential Functions

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

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

Write the equation of the exponential function for the given graph.

• y = 2(2)^x

• y = 2(1)^x

• y = 1(1/2)^x

• y = 2^x

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

• Exponential Growth

• Exponential Decay

• Linear

• None

Write the equation of the exponential function for the given graph.

• y = 3^x

• y = 2(1/3)^x

• y = (1/3)^x

• y = -1(1/3)^x

Which equation describes the story below?
You have $5 and triple your money every day. 

• y=5(3)^x

• y=5^x

• y=5(3x)

• y=15^x

Write an exponential function to model the situation. Solve.
2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

• C(t) = 12000(1.06)^t ; $3149.72

• C(t) = 12000(.06)^t ; $3149.72

• C(t) = 12000(.06)^t ; $1472.95

• C(t) = 12000(1.06)^t ; $15149.72

Write the equation of the exponential function for the given table.

• y = 1(4)^x

• y = 1(1/4)^x

• y = 4(4)^x

• y = 1/4(1)^x

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons. Which function models the amount of cola in gallons after h hours?

• f(h) = 75(-5)^h

• f(h) = -5(75)^h

• f(h) = .95(75)^h

• f(h) = 75(.95)^h

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

• Exponential Growth

• Exponential Decay

• Linear

• None