Exponential Functions and Compound Interest

The video tutorial covers graphing exponential growth functions, including transformations such as vertical shrink, reflection, and shifts. It explains the properties of these functions, such as domain, range, and asymptotes. Additionally, the video discusses simple and compound interest, illustrating how money grows exponentially over time.

What is the general form of an exponential growth function?

• y = a/x

• y = a * b^x

• y = a + bx

• y = ax^2 + bx + c

In the function Y = 2^X, what is the value of 'a'?

• 0

• X

• 1

• 2

What happens to the graph of Y = 2^X as X approaches negative infinity?

• It approaches the y-axis

• It approaches the x-axis

• It becomes a straight line

• It diverges to infinity

What is the y-intercept of the function Y = 2^X?

• (0, 1)

• (0, 0)

• (1, 2)

• (1, 0)

What is the range of the function Y = 2^X?

• y > 0

• y = 1

• y < 0

• y = 0

How does the graph of Y = (2/3) * 2^X differ from Y = 2^X?

• It is a vertical shrink

• It is a horizontal shrink

• It is a horizontal stretch

• It is a vertical stretch

What is the y-intercept of the function Y = (2/3) * 2^X?

• (1, 2)

• (1, 0)

• (0, 2/3)

• (0, 1)

What is the range of the function Y = (2/3) * 2^X?

• y = 0

• y = 1

• y < 0

• y > 0

What effect does a negative 'a' value have on the graph of Y = -2 * 2^X?

• It causes a vertical stretch

• It causes a reflection

• It causes a horizontal shift

• It causes a vertical shrink

What is the range of the function Y = -2 * 2^X?

• y = 0

• y = 1

• y < 0

• y > 0