Big Ideas Exponential Functions

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

• Exponential Growth

• Linear

• Exponential Decay

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

• Exponential Growth

• Exponential Decay

Which does y = (2)^x represent?

• Exponential Growth

• Exponential Decay

Which table represents the following equation?

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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

You are sick and your doctor prescribes a medication. One dose is 200 mg. Every half hour 30% of the medication leaves the body. You take the first dose at 6 am. If y = amount of medication in the body and x = a 30 minute interval, what equation fits the scenario?

• y=30(0.70)^x

• y=200(0.30)^x

• y=200(x)^0.3

• y=200(0.70)^x

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

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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