Exponential

What is the asymptote of y = 2^(x-3) ?

• y = 0

• y = -3

• x = 0

• x = -3

Which equation matches this graph?

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What is the end behavior of the graph?

• As x →∞, y→⁻∞ and as x →⁻∞, y→⁻∞

• As x →∞, y→∞ and as x→⁻∞, y→∞

• As is x →∞, y→∞ and as x→⁻∞, y→2

• As x →∞, y→2 and as x→⁻∞, y→∞

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

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.

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

If you were asked to write an exponential function with an asymptote of y = - 2, what must you include in your equation?

• Subtract 2 from any exponential expression. Ex. y = (4)^x - 2

• Add 2 to any exponential expression. Ex. y = (4)^x + 2

• Raise the expression to the power of -2. Ex. y = x ^-2

• Subtract .02 from 1 to get a decay factor. Ex. y = (1 - .02)^x

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. Use the table to write an equation.

• y=4(4)^x

• y=4(2.68)^x

• y=4(1+1.67)^x

• y=4(1.67)^x

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

If you are given the following tables, how would you fill in the missing values?

• Find the common difference for the linear table and use that to find the other y values and for the exponential table find the first difference and use that to find the other y values.

• Use the second difference to find the linear table values and the third difference to find the exponential table values.

• Find the first difference for the linear table and use that to find the other y values and for the exponential table find the common ratio and use that to find the other y values.

• Give up.