Understanding Exponential Functions Concepts

The video provides a comprehensive review of exponential functions, covering their key attributes, examples, evaluation, and graphing techniques. It explains the concept of asymptotes and offers practice in graphing exponential functions. Key features and properties of exponential functions are summarized, including the role of the base and the y-intercept.

What is the general form of an exponential function?

• y = a + bx

• y = a * bx

• y = a / bx

• y = a - bx

In an exponential function, what condition must 'b' satisfy?

• b must be negative

• b must be zero

• b must be greater than 10

• b must be positive and not equal to 1

What role does 'a' play in an exponential function?

• It is the growth factor

• It is the slope of the function

• It is the starting value or y-intercept

• It is the decay factor

Which of the following is NOT an exponential function?

• y = 2^x

• y = 10^x

• y = 5 * 2^x

• y = 1/4^x

How do you evaluate f(x) = 2^x when x = 3?

• 2

• 4

• 16

• 8

What is the value of f(x) = 2^x when x = -4?

• 1/4

• 1/8

• 1/16

• 1/2

When graphing y = 2^x, what is the y-value when x = 0?

• 0

• 1

• 2

• 4

What is an asymptote in the context of exponential functions?

• A point where the graph ends

• A point where the graph starts

• A line that the graph approaches but never touches

• A line that the graph crosses

What is the horizontal asymptote for the function y = 2^x?

• y = x

• y = 0

• y = 2

• y = 1

What is the y-intercept of the parent function y = b^x?

• (1, 1)

• (1, 0)

• (0, 1)

• (0, 0)