Exponential Explorations

Which of the following represents an exponential growth function?

• y = 2x

• y = x^2

• y = 3^x

• y = 1/x

If a graph of an exponential function passes through the point (0, 1), which of the following could be the function?

• y = (1/2)^x

• y = 2^x - 1

• y = 3x

• y = x^3

What is the y-intercept of the exponential function y = 5^x?

• (0, 1)

• (0, 5)

• (1, 0)

• (5, 0)

Which of the following is a characteristic of exponential decay functions?

• The base of the exponent is greater than 1.

• The base of the exponent is a negative number.

• The base of the exponent is between 0 and 1.

• The base of the exponent is equal to 1.

What is the end behavior of the exponential function y = (3/4)^x as x approaches infinity?

• y approaches infinity

• y approaches 0

• y approaches -infinity

• y approaches 3/4

Which of the following equations represents an exponential function with a horizontal asymptote at y = 0?

• y = 2x + 1

• y = x^2

• y = (1/3)^x

• y = -3^x

If an exponential function has the form y = ab^x, which variable determines the rate of growth or decay?

• y

• a

• b

• x

What does the graph of an exponential function look like as it approaches negative infinity?

• It rises indefinitely.

• It falls to a negative value.

• It approaches a horizontal asymptote.

• It oscillates between positive and negative values.

Which of the following is true for the graph of the exponential function y = 10 * 2^x?

• It is decreasing and passes through the point (0, 10).

• It is increasing and passes through the point (0, 10).

• It is decreasing and passes through the point (0, 20).

• It is increasing and passes through the point (0, 20).

If a quantity doubles every 3 days, which function represents this situation?

• y = 2^(x/3)

• y = 2^(3x)

• y = (1/2)^(x/3)

• y = 3^(2x)