Exploring Exponential Functions and Sequences

• A line passing through the origin with a constant slope.

• A curve that increases rapidly and passes through the point (0,1).

• A parabola opening upwards.

• A horizontal line.

What is the general form of an exponential growth function?

Which of the following represents an exponential decay function?

What is the equation of the exponential function that passes through the points (0, 3) and (1, 9)?

Which of the following is an example of a linear function?

What is the common ratio in the geometric sequence 3, 9, 27, 81, ...?

• 2

• 3

• 4

• 5

Which of the following sequences is arithmetic?

• 2, 4, 8, 16, ...

• 3, 6, 12, 24, ...

• 5, 10, 15, 20, ...

• 1, 4, 9, 16, ...

• Both grow at the same rate

• Cannot be determined

• 1

• 3

• 5

• 15