Equation of Exponential Functions

This graph models y = (0.2)^x - 3. Which statement describes what happens to the y value as x increases?

• As the value of x becomes very large, the value of y approaches - 0.2.

• As the value of x becomes very large, the value of y approaches -3.

• As the value of x becomes very large, the value of y approaches -2.

• As the value of x becomes very large, the value of y will gradually

  decrease to negative infinity.

Consider the equation y = 4(1.67)^x where y is the area covered by mutant venus fly trap plants and x is the number of years since they were discovered. Which of the following statements is true?

• If x = 0, there are 4 square kilometers of island covered by mutant venus fly traps.

• If x = 0, all the mutant venus fly trap plants have been killed by an herbicide.

• If x = 0, the x-intercept of the graph of the scenario is (0 , 0)

• If x = 0, there are 1.67 square kilometers covered by mutant venus fly trap plants.

Consider the equation 70(0.8)^x + 2. What is the equation of the asymptote?

• y = 70

• y = 0.8

• y = 2

• y = 0.2

Consider the equation 70(0.8)^x + 2. What is the end behavior of the function as x approaches infinity?

• 
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• 
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A population of mutant venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects to small rodents. When they were first discovered they covered 4 square kilometers. As the population grows, the plants spread and cover more land. How many years will it take for the plants to occupy 400 km²?

• 8 years

• 9 years

• 10 years

• 11 years

What parts of an exponential equation could you find in a table?

• The factor is found as the first difference in the table, and the value of a is where y=0.

• The factor is found as the common ratio in the table, and the value of a is where y = 0.

• The factor is found as the common ratio in the table, and the value of a is where y = 0.

• The factor is found as the first difference in the table, and the value of a is where x=0.

• Exponential Growth

• Exponential Decay

• Linear

• None

• Exponential Growth

• Exponential Decay

What is the horizontal asymptote of all exponential functions?

• The x-axis

• The y-axis

• All real numbers

Which does y = 2(0.5)^x represent?

• Exponential Growth

• Exponential Decay