Exponential Functions Practice

Front

Does the graph represent an exponential growth or an exponential decay function?

Back

Exponential Growth

Front

What does the y-intercept of the graph represent?

Back

The initial amount of grams.

Front

Which of the following is an increasing exponential function whose y-intercept is 50? Options: y = 50(.05)^x, y = 50x - 4, y = (2)^x + 50, y = 50(1.4)^x

Back

y = 50(1.4)^x

Front

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

Back

13%

Front

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true? Options: After 20 days, there are 49 ants in the colony., After 49 days there are 20 ants in the colony., The amount of ants times 20 is 49., After 20 days the amount of ants remaining decreases by 49.

Back

After 20 days, there are 49 ants in the colony.

Front

What does the value 12 represent in the expression 12(1.015)^t modeling the population of elephants in a wildlife refuge after t years since 1975?

Back

The initial amount of elephants in the park.

Front

What does the value 1.015 represent in the expression 12(1.015)^t for elephant population growth?

Back

The number of elephants increases by 1.5% each year.

Front

Is the graph exponential growth or decay?

Back

Exponential decay

Front

Classify the function: g(x) = 740(.001)^3x
Options: Exponential growth, Exponential decay, Linear, None of the above

Back

Exponential decay

Front

In an exponential function, what does the 'a' represent? Options: SLOPE, RATE OF CHANGE, Y-INTERCEPT, COMMON RATIO

Back

Y-INTERCEPT