Exponential Functions Growing Patterns

Is the following function an example of decay or growth? f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

What is the horizontal asymptote of all exponential functions?

• The x-axis

• The y-axis

• All real numbers

Which does y = (2)^x represent?

• Exponential Growth

• Exponential Decay

The horizontal line that a exponential function approaches but never touches

• Asymptote

• Growth Factor

• Axis of Symmetry

Which equation is represented by the table?

Which table represents the following equation?

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What is it about the equation y = 2(9/7)^x that indicates that it is a model for exponential growth?

• The equation is growth because 2 is positive.

• The equation is growth because the factor is positive.

• The equation is growth because the factor is greater than one.

• The equation is growth because the exponent is always positive.

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

The diagram shows the function f(x) = 3^x + 2. How could you name an ordered pair of this function.

• Option 1: Plug the function into the calculator and look at the table.

• Option 2: Randomly write down your favorite numbers.

• Option 3: Plug in zero for x, which gives an y output of 3 (1+2) for the point (0, 3)

• Option 1 and 3

• None of the above