Graphing Exponential Functions and Equations

What is the defining characteristic of an exponential function?

• The function is a straight line.

• The function has a constant rate of change.

• The variable is in the base.

• The variable is in the exponent.

Which of the following is NOT a restriction for the base 'a' in an exponential function?

• a must be greater than zero.

• a must not be equal to one.

• a can be a negative number.

• a must be a positive number.

What is the value of f(x) when x = 3 for the function f(x) = 2^x?

• 16

• 2

• 8

• 4

What is the y-coordinate when x = 0 for the function f(x) = 2^x?

• 4

• 2

• 1

• 0

What does a negative exponent indicate in the function f(x) = 2^x?

• A reciprocal.

• A negative number.

• An undefined value.

• A zero value.

As x approaches negative infinity in the function f(x) = 2^x, what happens to the value of f(x)?

• It approaches infinity.

• It becomes negative.

• It approaches zero.

• It remains constant.

What is the domain of the function f(x) = 2^x?

• All integers.

• All real numbers.

• All negative numbers.

• All positive numbers.

What is the range of the function f(x) = 2^x?

• All real numbers.

• All positive numbers.

• All negative numbers.

• All integers.

What is the value of f(x) when x = -1 for the function f(x) = (1/2)^x?

• 1/2

• 1

• 2

• 4

How does the graph of f(x) = (1/2)^x compare to the graph of f(x) = 2^x?

• It is a reflection over the y-axis.

• It is a reflection over the x-axis.

• It is a horizontal shift.

• It is a vertical shift.