Exponential Functions

Front

How could you name an ordered pair of the function f(x) = 3^x + 2?

Back

Plug the function into the calculator and look at the table; Plug in zero for x, which gives a y output of 3 (1+2) for the point (0, 3)

Front

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

Back

The factor is greater than one.

Front

What does the 1.08 in the equation y=200(1.08)^x indicate?

Back

The value of the item is increasing by 8% each year.

Front

Asymptote

Back

an imaginary horizontal line that helps define where the graph will approach, but never reach.

Front

How can you find the vertical intercept of a graph?

Back

Enter the function into the calculator and look for the value of y where x is zero. Plug in zero for x and calculate y. Use the trace feature on the calculator.

Front

What must be included in an exponential function to have an asymptote of y = -2?

Back

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

Front

Equation for mutant venus fly trap population growth based on initial 4 sq km coverage.

Back

y=4(1.67)^x

Front

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?

Back

9 years

Front

You are sick and your doctor prescribes a medication. One dose is 200 mg. Every half hour 30% of the medication leaves the body. If you take the first dose at 6 am, how many events/intervals have occurred by 9 am?

Back

6

Front

Amount of medication in the body after each 30-minute interval (y) if one dose is 200 mg and 30% leaves the body every half hour.

Back

y=200(0.70)^x