Exponential Functions

Multiple Choice

Which statement about p(x) = -7(4)^x is true?

• The domain is all real numbers greater than or equal to 4.

• The range is all real numbers less than 0.

• The domain is all real numbers less than or equal to 0.

• The range is all real numbers.

Multiple Choice

Which inequality best represents the domain of the part shown?

• x > 1

• y > 1

• x > -2

• y > -2

Multiple Choice

The function w(t) = 270(1.029)^t can be used to estimate the number of whales in the North Atlantic Ocean at the end of t years. What does 1.029 represent in this function?

• The initial number of whales in the North Atlantic Ocean.

• The decay factor of the number of Whales in the North Atlantic Ocean.

• The number of whales in the North Atlantic Ocean at the end of the first year.

• The growth factor of the number of whales in the North Atlantic Ocean.

Multiple Choice

An insect population after x months can be modeled by the function g(x) = 18 (1.3)^x.

Which statement is the best interpretation of one of the values in this function?

• The insect population increased by 13 insects each month.

• The insect population decreased by 13 insects each month.

• The insect population increased at a rate of 30% each month.

• The insect population decreased at a rate of 30% each month.

Multiple Choice

Researchers studied the population of a town over time and modeled the data using an exponential function.

• * The initial estimated population was 48,000.

• * After the first year, the population of the town was 50,400.

• If the population of the town continues to grow at this rate each year, which function can be used to model the population x years after the researchers began their study?

• $$p\left(x\right)\ =\ 48,000\left(\frac{50,400}{48,000}\right)^x$$

• $$p\left(x\right)\ =\ 50,400\left(\frac{50,400}{48,000}\right)^x$$

• $$p\left(x\right)\ =\ 50,400\left(\frac{1}{48,000}\right)^x$$

• $$p\left(x\right)\ =\ 48,000\left(\frac{1}{50,400}\right)^x$$